A solid wooden toy is in the shape of a right circular cone mounted o…

Question

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 wooden toy (nearly)?

Accepted Answer

Option D. 266 cm 3. Answer & Solution Answer: Option D Solution: & Height of the cone = 10.2 - 4.2 = 6 cm & Volume of the toy = 1/3 r^2h + 2/3 r^3 & = 1/3 r^2 ( h + 2r ) & = 1/3 × 227 × ( 4.2 )^2 ( 2 × 4.2 + 6 ) & = 1/3 × 227 × ( 4.2 )^2 × 14.4 & = 266 c m^3 ( appx . )