Question

The total surface area of a solid hemisphere is $108\pi$ cm². The volume of the hemisphere is

• A. $$72\pi$$
• B. $$144\pi$$
• C. $$108\sqrt{6}$$
• D. $54\sqrt{6}$

Answer 1

Answer:

$$144\pi$$

If the radius of the solid hemisphere be r cm,

then total surface area $= 3\pi{r^2}$

$3\pi{r^2}=108\pi$

$r^2=\frac{108}{3}$

$r=\sqrt{36}$

$r=6cm$

Volume of the hemisphere $=\frac{2}{3}\pi{r^3}$

$=\frac{2}{3}\pi\times{6^3}$

$=144\pi cucm$