Question

In a cylindrical wooden block with a radius of 7 cm and a height of 14 cm, hemispherical blocks with

a radius of 7 cm are carved out from both ends. Find the volume of the resulting solid.

Answer 1

9514 1404 393

Answer:

1372π/3 cm^3 ≈ 1436.8 cm^3

Explanation:

The diameter and height of the cylinder are both 14 cm. The resulting solid will be a 14 cm sphere. Its volume is ...

V = 4/3πr^3 = 4/3π(7 cm)^3 = 1372π/3 cm^3 ≈ 1436.8 cm^3