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

Answer:

Hello,

Step-by-step explanation:

Area of the sphere:

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

Volume of the sphere:

$V=\dfrac{4*\pi *r^3}{3}$

$\dfrac{S}{3} =\dfrac{V}{7} \\\\\dfrac{4*\pi *r^2}{3} =\dfrac{4*\pi *r^3}{3*7} \\\\1=\dfrac{r}{7} \\\\\\r=7\\\\great \ circle: 2*\pi* r=14*\pi$

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