Question

The red portion in the image is removed from the sphere to form a cavity. The centre of the base of the cylindrical cavity and the sphere are the same. If the radius of the sphere is 6 cm and the height and radius of the cavity are equal, what is the volume (in $c{m}^3$) of the cavity?

• A. $36\sqrt{2}\pi$
• B. $54\sqrt{2}\pi$
• C. $27\sqrt{2}\pi$
• D. $48\sqrt{2}\pi$

Answer 1

The correct option is B $54\sqrt{2}\pi$