Question

total surface area of a sphere is 942 CM square find its volume

Answer 1

Surface area of sphere is =4π r^2

given is surface area = 942 cm. sq.

hence....4πr^2=942cm.sq

volume of sphere= 4/3 π r^2........formula....

surface area= 4 πr^2=942 cm. sq.

r^2=942/4π

r^2= 942 x 7 / 4 x 22

r^2 =74.93

r = 8.65...............[1]

from given i.e. 4πr^2 = 942 cm . sq.

π = 942 / 4r^2

volume = 4/3 π r^3

4/3 x 942 / 4r^2 x r^3

= 4/3 x 942/4 x r

=314 x r

=314 x 8.65..................... from [1]

=2716.1 cu. cm.