Question

What is the volume (in cu. cm) of a spherical shell with $8$ cm and $10$ cm as its internal and external diameters respectively?

• A. $\frac{61\pi }{3}$
• B. $\frac{122\pi }{3}$
• C. $\frac{244\pi }{3}$
• D. $\frac{250\pi }{3}$

Answer 1

The correct option is C $\frac{244\pi }{3}$

Given, internal and external diameters of spherical shell are $8$ cm and $10$ cm.

Thus their radius are $4$ cm and $5$ cm respectively.

Require volume $=\frac{4}{3}\pi (5^3-4^3)$
$=\frac{4}{3}\pi (125-64)$
$=\frac{244}{3}\pi$