Question

What is the height of a cylinder that has the same volume and radius as a sphere of diameter 12 cm ?

• A. 7 cm
• B. 10 cm
• C. 8 cm
• D. 9 cm

Answer 1

Answer:

C. 8 cm

Volume of sphere $=\frac{4}{3}\pi{\times{(6^3)}}$ cu.cm

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

$=\pi{(6)^2}\times{h}$

$Now, \pi(6)^2\times{h}=\frac{4}{3}\pi\times{6^3}$

$\pi=\frac{4}{3}\times{6}$

$=8cm$