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 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 | |||
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 river 3m deep and 40m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute? | |||
| Right Option : A | |||
| View Explanation | |||
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9thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
