Question

A clay ball was split in half and its insides is scooped out. If the hollow shape formed is a hemisphere of inner radius $3cm$ and has a thickness of $3cm$. Find the total volume of the clay remaining in both the halves.

• A. $679c{m}^3$
• B. $712c{m}^3$
• C. $759c{m}^3$
• D. $792c{m}^3$

Answer 1

The correct option is D $792c{m}^3$

Radius of hemisphere $=3cm$​

Thickness of the hemisphere$=3cm$​

Outer radius of the hemisphere $=3+3=6cm$

Total volume of the clay remaining in both the halves=​
$\frac{4}{3}\pi r_1^3-\frac{4}{3}\pi r_2^3$
$=\frac{4}{3}\pi (6^3-3^3)$
$=\frac{4}{3}\times \frac{22}{7}\times 3^3\times 7=792c{m}^3$