Volume of Composite Solids
Volume of Composite Solids
A composite solid is a solid that is composed, or made up of, two or more solids.
| Example: A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy. |  |
Solution: Let r be the radius of the hemisphere and h be the height of the conical part of the toy. Then, r = 4.2 cm, height of cone = (10.2 - 4.2) cm = 6 cm. Also, radius of the base of the cone = 4.2 cm
Volume of the wooden toy = Volume of the conical part + Volume of the hemispherical part =
=
=
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A cone and a cylinder are having the same base. Find the ratio of their heights if their volumes are equal. | |||
| Right Option : B | |||
| View Explanation | |||
A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 3 cm and the total height of the toy is 8 cm, find the volume of the wooden toy. | |||
| Right Option : A | |||
| View Explanation | |||
How many planks each of which is 2 m long, 2.5 cm broad and 4 cm thick can be cut-off from a wooden block 6 m long, 15 cm broad and 40 cm thick? | |||
| Right Option : B | |||
| View Explanation | |||
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