Question

Find the surface area and volume of a hemisphere of radius 4.5 cm.

Answer 1

Given that, radius of a hemisphere $=4.5cm$

To find out: Surface area and volume of the hemisphere.

We know that, the surface area of a hemisphere is $3\pi r^2$

$\therefore$ Surface area $=3\times \frac{22}{7}\times (4.5{)}^2[\because \pi =\frac{22}{7}]$

$\Rightarrow \frac{1336.5}{7}$

$\therefore$ Surface area $=190.93c{m}^2$

We also know that, volume of a hemisphere is $\frac{2}{3}\pi r^3$

$\therefore$ Volume $=\frac{2}{3}\times \frac{22}{7}\times (4.5{)}^3[\because \pi =\frac{22}{7}]$

$\Rightarrow \frac{40009.5}{21}$

$\therefore$ Volume $=190.93c{m}^3$

Hence, the surface area of the given hemisphere is $190.93c{m}^2$ and its volume is $190.93c{m}^3$.