Question

8. The radius of sphere is 10 em. If the radius is increased by 5%, find by how much per

the volume is increased ?​

Answer 1

Radius of sphere= 10 cm

Volume = 4/3πr^3 = 4/3 x 22/7 x 1000= 4190.47cm

Step-by-step explanation:

Since it's increasing by 5%, the radius would be 10+5/100 = 10+1/20 = 201/20 = 10.05cm..

THE NEW VOLUME NOW...

4/3πr^3 = 4/3 x 22/7 x (10.05)^3 = 4253.64 cm^3

INCREASING THE VOLUME

(4253.64- 4190.47) cm ^3 = 63.17 cm^3

INCREASING PERCENTAGE..

63.17/4190.47x100 = 1.5% (Answer)

I hope this helps you