Question

Drawo
is tem, find sunfacerea and volume.
7. the radius of
sphere​

Answer 1

Given :

• r = 7 cm

To find :

• Total surface area of sphere
• volume of sphere

Solution :

Finding Volume of sphere

Using formula

$v \: = \frac{4}{3} \times \pi \times r {}^{3}$

Putting the value of r is 7

$v \: = \frac{4}{3} \times \frac{22}{7} \times 7 {}^{3} \\ v = \frac{4 \times 22}{3 \times 7} \times 343 \\ v = \frac{88}{21} \times 343 \: \: \: \: \: \: \: \\ v = \frac{88 \times 343}{21} \: \: \: \: \: \: \: \\ v = \frac{30184}{21} \: \: \: \: \: \: \: \: \: \: \: \: \\ v = 1437.33cm {}^{3}$

Finding total surface area of sphere

Using formula

$A = 4 \times \pi \times r {}^{2}$

Putting value r = 7 cm

$A = 4 \times \frac{22}{7} \times 7 {}^{2} \\ A = \frac{88}{7} \times 49 \: \: \: \: \: \: \\ A = \frac{4312}{7} \: \: \: \: \: \: \: \: \: \: \\ A = 616 cm {}^{2} \: \: \: \: \: \:$

The total surface of area of sphere is 616 cm ²