Question

If the height of cylinder increases from $8$ inches to $12$ inches, then its volume increases from $72\pi$ to $V$. Find the value of $V$.

• A. $76\pi$
• B. $108\pi$
• C. $328\pi$
• D. $576\pi$

Answer 1

Answer: (B)

$108\pi$

Volume of a cylinder is given by $\pi r^{2}h$

Since the volume of the cylinder is directly proportional to its height,

$\frac{V}{72\pi }=\frac{12}{8}$

$\therefore V=72\pi \times \frac{12}{8}$

$\therefore V=108\pi$ cubic inch