Question

# A toy is in the form of a hemisphere surmounted by a right circular cone of the same base radius as that of the hemisphere. If the radius of the base of the cone is 21 cm and its volume is 2/3 of the volume of hemisphere, calculate the height of the cone and the surface area of the toy. (Use $\mathrm{\pi }=22/7$).

Solution

## Solution: Let the height of the conical part be h. Radius of the cone = Radius of the hemisphere = r = 21 cm The toy can be diagrammatically represented as   Volume of the cone = Volume of the hemisphere = According to given information: Volume of the cone × Volume of the hemisphere Thus, surface area of the toy = Curved surface area of cone + Curved surface area of hemisphere MathematicsRD Sharma (2016)Standard X

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