Question

total surface area of hemisphere is 942cm2 find its volume. (take pi=22/7)​

Answer 1

Answer:

Step-by-step explanation:

TSA of hemisphere = 3πr^2

3πr^2 =942

r^2 = 100 (approx)

r =10

Volume = 2/3πr^3

= 2095.23

Please mark BRAINIEST

Answer 2

$\large\underline\pink{Given:-}$

• Total surface area of the hemisphere is 942 cm²

$\large\underline\pink{To find:-}$

• Fine it's volume ....?

$\large\underline\pink{Solutions:-}$

$\: \: \: \: \: \: \: \therefore \: \: Total \: \: surface \: \: of \: \: hemisphere \: \: = \: \: {3} \: \pi \: {r}^{2} .$

$\: \: \: \: \: \: \: \leadsto \: \: {3} \: \pi \: {r}^{2} \: \: = \: \: {942}$

$\: \: \: \: \: \: \: \leadsto \: \: {3} \: \times \: \frac{22}{7} \: \times \: {r}^{2} \: \: = \: \: {942}$

$\: \: \: \: \: \: \: \leadsto \: \: {r}^{2} \: \: = \: \: \frac{{942} \: \times \: {7}}{{22} \: \times \: {3}}$

$\: \: \: \: \: \: \: \leadsto \: \: {r}^{2} \: \: = \: \: \frac{{314} \: \times \: {7}}{22}$

$\: \: \: \: \: \: \: \leadsto \: \: {r}^{2} \: \: = \: \: \frac{2198}{22}$

$\: \: \: \: \: \: \: \leadsto \: \: {r} \: \: = \: \: \sqrt{99.90}$

$\: \: \: \: \: \: \: \leadsto \: \: {r} \: \: = \: \: \sqrt{100}$

$\: \: \: \: \: \: \: \leadsto \: \: {r} \: \: = \: \: {10}$

The radius of hemisphere is 10 cm.

$\: \: \: \: \: \: \: \therefore \: \: Volume \: \: of \: \: hemisphere \: \: = \: \: \frac{2}{3} \: \pi \: {r}^{3} .$

$\: \: \: \: \: \: \: \leadsto \: \: \frac{2}{3} \: \times \: \frac{22}{7} \: \times \: {(10)}^{3}$

$\: \: \: \: \: \: \: \leadsto \: \: \frac{44}{21} \: \times \: {1000}$

$\: \: \: \: \: \: \: \leadsto \: \: \frac{44000}{21}$

$\: \: \: \: \: \: \: \leadsto \: \: {2095.23} \: {cm}^{2}$

$\: \: \: \: \: \: \: Hence, \\ \: \: \: \: Volume \: \: of \: \: hemisphere \: \: is \: \: {2095.23} \: {cm}^{2}.$

$\large\underline\pink{More \: \: Important:-}$

• $\: \: \: \: \: \: \: \: \: Total \: \: surface \: \: of \: \: hemisphere \: \: = \: \: {3} \: \pi \: {r}^{2} .$
• $\: \: \: \: \: \: \: \: \: Curved \: \: surface \: \: of \: \: hemisphere \: \: = \: \: \frac{1}{2} \: \pi \: {r}^{2} .$
• $\: \: \: \: \: \: \: \: \: Volume \: \: of \: \: hemisphere \: \: = \: \: \frac{2}{3} \: \pi \: {r}^{3} .$

__________________________________