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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=
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A solid is in the form of a cylinder surrounded by a cone. The heights of cone and the cylinder are 6 cm and 12 cm respectively. If the radius of the cone is 7 cm, its volume will be | |||
| Right Option : A | |||
| View Explanation | |||
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| 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 | |||
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