Question

The total surface area of hemisphere is 462cm.Find it's volume.

Answer 1

TSA of hemisphere = 3πr^2

462 = 3× 22/7 × r^2

462× 7/ 3× 22 = r^2

49 = r^2

.: r= √ 49

:. r= 7 cm



:. volume of hemisphere = 2/3 π r^ 3
=2/3 × 22/7 × 343
= 718.66 cm^3




HOPE IT HELPS!!!!!!

Answer 2

Hello friends

__________________________

We know that,

Total Surface Area of hemisphere =
$3\pi \: r {}^{2}$

So we have the total surface area

$462 = 3\pi \: r {}^{2} \\ \\ 462 = 3 \times 3.14 \times r {}^{2} \\ \\ \frac{462}{3 \times 3.14} = r {}^{2} \\ \\ \frac{46200}{3 \times 314} = r {}^{2} \\ \\ \frac{46200}{942} = r {}^{2} \\ \\ 47 = r {}^{2} \\ \\ r = 7cm$
We know that,

$volume \: of \: hemisphere \: = \frac{2}{3} \pi \: r {}^{3}$
By putting the values we get,

$= \frac{2}{3} \times \frac{22}{7} \times 7 \times 7 \times 7 \\ \\ = \frac{2}{3} \times 22 \times 7 \times 7$
$= \frac{2}{3} \times 1078 \\ \\ = \frac{2156}{3} \\ \\ = 718.66 \: cm {}^{3} \\ \\ therefore \: the \: volume \: of \: hemisphere \: = 718.66cm {}^{3}$

Thanks...

:)