Question

Find the height of a right circular cylinder whose volume is $2$ and whose diameter and height are equal in length.

• A. $1.37$
• B. $1.08$
• C. $0.86$
• D. $0.80$
• E. $0.68$

Answer 1

Answer: (A)

$1.37$

Given: $h=2r$

$\therefore r=\frac{1}{2}h$

Volume $=$ $\pi r^{2}h$

Volume $=2$

$2=\pi {\left(\frac{1}{2}h\right)}^{2}h$

$h=\sqrt[3]{3\frac{8}{\pi }}$

$h\approx 1.37$