Question

Cyruer.

Pucic Or the
(a) The surface area and volume of a sphere are in the ratio of 3 : 7
cm. What is the circumference
of its great circle and volume ? Find it.​

Answer 1

Hello,

Explanation:

Area of the sphere:

`S=4*\pi *r^2`

Volume of the sphere:

`V=(4*\pi *r^3)/(3)`

`(S)/(3) =(V)/(7) \\\\(4*\pi *r^2)/(3) =(4*\pi *r^3)/(3*7) \\\\1=(r)/(7) \\\\\\r=7\\\\great \ circle: 2*\pi* r=14*\pi\\`

`Volume=(4*\pi *7^3)/(3) =(1372*\pi )/(3) \approx{1436,7550...(cm^3)}`