problem stringlengths 0 1.31k | answer stringclasses 340
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Find the surface area of the cylinder shown. The height is 10 cm and radius is 6 cm.
Give your answer to the nearest two decimal places. | Surface Area $=603.19 \mathrm{~cm}^{2}$ | |
Find the surface area of the cylinder shown. The radius is 6 cm.
Give your answer to the nearest two decimal places. | Surface Area $=603.19 \mathrm{~cm}^{2}$ | |
Find the surface area of the solid figure shown. The radius is 6 cm.
Give your answer to the nearest two decimal places. | Surface Area $=603.19 \mathrm{~cm}^{2}$ | |
Find the surface area of the cylinder shown.
Give your answer to the nearest two decimal places. | Surface Area $=603.19 \mathrm{~cm}^{2}$ | |
Surface Area $=603.19 \mathrm{~cm}^{2}$ | ||
Consider the solid pictured and answer the following:
Hence what is the total surface area? The outer radius is 11 cm, inner radius is 10 cm and length 24 cm.
Give your answer to the nearest two decimal places. | $\mathrm{SA}=3298.67 \mathrm{~cm}^{2}$ | |
Consider the solid pictured and answer the following:
Hence what is the total surface area? The length is 24 cm.
Give your answer to the nearest two decimal places. | $\mathrm{SA}=3298.67 \mathrm{~cm}^{2}$ | |
Consider the solid pictured and answer the following:
Hence what is the total surface area? The length is 24 cm.
Give your answer to the nearest two decimal places. | $\mathrm{SA}=3298.67 \mathrm{~cm}^{2}$ | |
Consider the solid pictured and answer the following:
Hence what is the total surface area?
Give your answer to the nearest two decimal places. | $\mathrm{SA}=3298.67 \mathrm{~cm}^{2}$ | |
$\mathrm{SA}=3298.67 \mathrm{~cm}^{2}$ | ||
Write an equation for the surface area of the above cylinder if the length is $L$, the major radius $R$ and minor radius $r$. You must factorise this expression fully. | Surface area $=2 \pi(R+r)(L+R-r)$ square units | |
Write an equation for the surface area of the above cylinder if the length is $L$. You must factorise this expression fully. | Surface area $=2 \pi(R+r)(L+R-r)$ square units | |
Write an equation for the surface area of the above solid figure if the length is $L$. You must factorise this expression fully. | Surface area $=2 \pi(R+r)(L+R-r)$ square units | |
Write an equation for the surface area of the above cylinder. You must factorise this expression fully. | Surface area $=2 \pi(R+r)(L+R-r)$ square units | |
Surface area $=2 \pi(R+r)(L+R-r)$ square units | ||
Find the surface area of the sphere shown. The radius is 11 cm.
Round your answer to two decimal places. | Surface Area $=1520.53 \mathrm{~cm}^{2}$ | |
Find the surface area of the sphere shown.
Round your answer to two decimal places. | Surface Area $=1520.53 \mathrm{~cm}^{2}$ | |
Find the surface area of the solid figure shown.
Round your answer to two decimal places. | Surface Area $=1520.53 \mathrm{~cm}^{2}$ | |
Find the surface area of the sphere shown.
Round your answer to two decimal places. | Surface Area $=1520.53 \mathrm{~cm}^{2}$ | |
Surface Area $=1520.53 \mathrm{~cm}^{2}$ | ||
Find the surface area of the sphere shown. The diameter is 9 cm.
Round your answer to two decimal places. | Surface Area $=254.47 \mathrm{~cm}^{2}$ | |
Find the surface area of the sphere shown.
Round your answer to two decimal places. | Surface Area $=254.47 \mathrm{~cm}^{2}$ | |
Find the surface area of the solid figure shown.
Round your answer to two decimal places. | Surface Area $=254.47 \mathrm{~cm}^{2}$ | |
Find the surface area of the sphere shown.
Round your answer to two decimal places. | Surface Area $=254.47 \mathrm{~cm}^{2}$ | |
Surface Area $=254.47 \mathrm{~cm}^{2}$ | ||
Find the surface area of the following sphere. The radius is 56.17 mm.
Round your answer to two decimal places. | Surface Area $=39647.77 \mathrm{~mm}^{2}$ | |
Find the surface area of the following sphere.
Round your answer to two decimal places. | Surface Area $=39647.77 \mathrm{~mm}^{2}$ | |
Find the surface area of the following solid figure.
Round your answer to two decimal places. | Surface Area $=39647.77 \mathrm{~mm}^{2}$ | |
Find the surface area of the following sphere.
Round your answer to two decimal places. | Surface Area $=39647.77 \mathrm{~mm}^{2}$ | |
Surface Area $=39647.77 \mathrm{~mm}^{2}$ | ||
In this question we will find the surface area of the following solid hemispher with a radius of 6:
What is the area of the circular base of the hemisphere?
Round your answer to three decimal places. | Area $=113.097$ units $^{2}$ | |
What is the area of the circular base of the hemisphere?
Round your answer to three decimal places. | Area $=113.097$ units $^{2}$ | |
What is the area of the circular base of the solid figure?
Round your answer to three decimal places. | Area $=113.097$ units $^{2}$ | |
What is the area of the circular base of the hemisphere?
Round your answer to three decimal places. | Area $=113.097$ units $^{2}$ | |
Area $=113.097$ units $^{2}$ | ||
Consider the following hemisphere with a radius of 8. Find the total surface area.
Round your answer to three decimal places. | Surface Area $=603.186$ units $^{2}$ | |
Consider the following hemisphere. Find the total surface area.
Round your answer to three decimal places. | Surface Area $=603.186$ units $^{2}$ | |
Find the total surface area.
Round your answer to three decimal places. | Surface Area $=603.186$ units $^{2}$ | |
Find the total surface area of this hemisphere.
Round your answer to three decimal places. | Surface Area $=603.186$ units $^{2}$ | |
Surface Area $=603.186$ units $^{2}$ | ||
Find the surface area of the following hemisphere. The radius is 74.74 m,
Round your answer to two decimal places. | Surface Area $=52647.45$ units $^{2}$ | |
Find the surface area of the following hemisphere.
Round your answer to two decimal places. | Surface Area $=52647.45$ units $^{2}$ | |
Find the surface area of the following solid figure.
Round your answer to two decimal places. | Surface Area $=52647.45$ units $^{2}$ | |
Find the surface area of the following hemisphere.
Round your answer to two decimal places. | Surface Area $=52647.45$ units $^{2}$ | |
Surface Area $=52647.45$ units $^{2}$ | ||
A solid consists of a cylinder (of radius 5mm and height 11mm) attached to a rectangular prism on one of its faces. The rectangular prism has sides of length 21mm, 10mm and 65mm. We wish to find the surface area of the entire solid. Note that an area is called 'exposed' if it is not covered by the other object.
What is... | S.A. of rectangular prism $=4371.46 \mathrm{~mm}^{2}$ | |
A solid consists of a cylinder with radius of 5mm and a rectangular prism. We wish to find the surface area of the entire solid. Note that an area is called 'exposed' if it is not covered by the other object.
What is the exposed surface area of the rectangular prism? Give your answer correct to two decimal places. | S.A. of rectangular prism $=4371.46 \mathrm{~mm}^{2}$ | |
The top one has a radius of 5mm. We wish to find the surface area of the entire solid. Note that an area is called 'exposed' if it is not covered by the other object.
What is the exposed surface area of the bottom solid figure? Give your answer correct to two decimal places. | S.A. of rectangular prism $=4371.46 \mathrm{~mm}^{2}$ | |
We wish to find the surface area of the entire solid, containing a cylinder and a rectangular prism.
Note that an area is called 'exposed' if it is not covered by the other object.
What is the exposed surface area of the bottom solid figure? Give your answer correct to two decimal places. | S.A. of rectangular prism $=4371.46 \mathrm{~mm}^{2}$ | |
S.A. of rectangular prism $=4371.46 \mathrm{~mm}^{2}$ | ||
We want to find the surface area of this shape. Assume that both boxes are identical in size. The box has sides of length 25, 20 and 33. The cylinder has a radius of 6 and a height of 11.
Find the surface area of the solid.
Round your answer to two decimal places. | Surface Area $=8128.50$ units $^{2}$ | |
Assume that both boxes are identical in size. One side of the box is 33. The height of cylinder is 11.
Find the surface area of the solid.
Round your answer to two decimal places. | Surface Area $=8128.50$ units $^{2}$ | |
One side of the left solid figure is 33. The height of middle solid figure is 11.
Find the surface area of the solid.
Round your answer to two decimal places. | Surface Area $=8128.50$ units $^{2}$ | |
Assume that both boxes are identical in size. Find the surface area of the solid.
Round your answer to two decimal places. | Surface Area $=8128.50$ units $^{2}$ | |
Surface Area $=8128.50$ units $^{2}$ | ||
Find the surface area of the composite figure shown, which consists of a cone and a hemisphere joined at their bases. The radius is 4 cm. The perpendicular height of cone is 10cm.
Round your answer to two decimal places. | Surface Area $=235.87 \mathrm{~cm}^{2}$ | |
Find the surface area of the composite figure shown, which consists of a cone and a hemisphere joined at their bases. The radius is 4 cm.
Round your answer to two decimal places. | Surface Area $=235.87 \mathrm{~cm}^{2}$ | |
Find the surface area of the composite figure shown. The radius is 4 cm.
Round your answer to two decimal places. | Surface Area $=235.87 \mathrm{~cm}^{2}$ | |
Find the surface area of the composite figure shown, consisting of a cone and a hemisphere joined at their bases.
Round your answer to two decimal places. | Surface Area $=235.87 \mathrm{~cm}^{2}$ | |
Surface Area $=235.87 \mathrm{~cm}^{2}$ | ||
We wish to find the surface area of the shape given, consisting of a hemisphere and a cylinder. The radius is 10.55 mm. The height of cylinder is 33.1 mm.
Hence find the total surface area of the shape, correct to two decimal places. | Total S.A. $=3222.80 \mathrm{~mm}^{2}$ | |
The shape consists of a hemisphere and a cylinder with a height of 33.1 mm.
Hence find the total surface area of the shape, correct to two decimal places. | Total S.A. $=3222.80 \mathrm{~mm}^{2}$ | |
The height of the bottom solid figure is 33.1 mm.
Hence find the total surface area of the shape, correct to two decimal places. | Total S.A. $=3222.80 \mathrm{~mm}^{2}$ | |
The shape consists of a hemisphere and a cylinder. Find the total surface area of the shape, correct to two decimal places. | Total S.A. $=3222.80 \mathrm{~mm}^{2}$ | |
Total S.A. $=3222.80 \mathrm{~mm}^{2}$ | ||
A cylinder with a radius of 2.5cm and a height of 10cm contains two identical spherical balls that fit exactly inside it. What is the surface area of each ball? Give your answer correct to one decimal place. | Surface area $=78.5 \mathrm{~cm}^{2}$ | |
A cylinder with a radius of 2.5cm and a height of 10cm contains identical spherical balls. What is the surface area of each ball? Give your answer correct to one decimal place. | Surface area $=78.5 \mathrm{~cm}^{2}$ | |
A solid with a radius of 2.5cm and a height of 10cm contains balls. What is the surface area of each ball? Give your answer correct to one decimal place. | Surface area $=78.5 \mathrm{~cm}^{2}$ | |
What is the surface area of each spherical ball? Give your answer correct to one decimal place. | Surface area $=78.5 \mathrm{~cm}^{2}$ | |
Surface area $=78.5 \mathrm{~cm}^{2}$ | ||
Let us find the surface area of the solid given (constructed by removing a hemisphere from a cylinder). The radius is 15 cm. The height of cylinder is 22 cm.
Hence, find the total surface area of the shape.
Give our answer to two decimal places. | Total surface area $=4194.03 \mathrm{~cm}^{2}$ | |
The solid is constructed by removing a hemisphere from a cylinder. The height of cylinder is 22 cm.
Hence, find the total surface area of the shape.
Give our answer to two decimal places. | Total surface area $=4194.03 \mathrm{~cm}^{2}$ | |
The height of solid figure is 22 cm.
Hence, find the total surface area of the shape.
Give our answer to two decimal places. | Total surface area $=4194.03 \mathrm{~cm}^{2}$ | |
The solid is constructed by removing a hemisphere from a cylinder. Find the total surface area of the shape.
Give our answer to two decimal places. | Total surface area $=4194.03 \mathrm{~cm}^{2}$ | |
Total surface area $=4194.03 \mathrm{~cm}^{2}$ | ||
The solid shown is constructed by cutting out a quarter of a sphere from a cube. Find its surface area if the side length is 14.2 and the radius is half that. | S.A. $=1209.84$ | |
The solid shown is constructed by cutting out a quarter of a sphere from a cube. Find its surface area if the side length is 14.2 and the radius is half that. | S.A. $=1209.84$ | |
Find the solid surface area if the side length is 14.2 and the radius is half that. | S.A. $=1209.84$ | |
The solid shown is constructed by cutting out a quarter of a sphere from a cube. Find the solid surface area. | S.A. $=1209.84$ | |
S.A. $=1209.84$ | ||
A square prism has sides of length 3cm, 3cm and 14cm as shown.
If the size of \angle DFH is \theta °, find theta to two decimal places. | 11.83 | |
A square prism has one side of length 14cm as shown.
If the size of \angle DFH is \theta °, find theta to two decimal places. | 11.83 | |
A solid figure has one side of length 14cm as shown.
If the size of \angle DFH is \theta °, find theta to two decimal places. | 11.83 | |
If the size of \angle DFH is \theta °, find theta to two decimal places. | 11.83 | |
11.83 | ||
The following is a right pyramid on a square base with side length 12cm. A right pyramid has its apex aligned directly above the centre of its base.
The edge length VA is 23cm.
Now, if the size of \angle VAW is \theta °, find \theta to two decimal places. | 68.34 | |
The following is a right pyramid on a square base with side length 12cm.
Now, if the size of \angle VAW is \theta °, find \theta to two decimal places. | 68.34 | |
The following is a solid figure with bottom side length 12cm.
Now, if the size of \angle VAW is \theta °, find \theta to two decimal places. | 68.34 | |
Now, if the size of \angle VAW is \theta °, find \theta to two decimal places. | 68.34 | |
68.34 | ||
All edges of the following cube are 7 cm long.Find z, the size of \angle AGH, correct to 2 decimal places. | 54.74 | |
All edges of the following cube are 7 cm long.Find z, the size of \angle AGH, correct to 2 decimal places. | 54.74 | |
All edges of the following solid are 7 cm long.Find z, the size of \angle AGH, correct to 2 decimal places. | 54.74 | |
Find z, the size of \angle AGH, correct to 2 decimal places. | 54.74 | |
54.74 | ||
A triangular prism has as dimensions those labelled on the diagram. The AB edge has length of 10. The BC edge has length of 3. The CF edge has length of 15. The EX edge and FX edge have the equal length. Find z, the size of \angle BXC, correct to 2 decimal places. | 10.74 | |
A triangular prism has CF edge with length of 15. The EX edge and FX edge have the equal length. Find z, the size of \angle BXC, correct to 2 decimal places. | 10.74 | |
A solid figure has CF edge with length of 15. Find z, the size of \angle BXC, correct to 2 decimal places. | 10.74 | |
Find z, the size of \angle BXC, correct to 2 decimal places. | 10.74 | |
10.74 |
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