Find the volume of a sphere whose surface area is `154 cm^(2)`

Options

A. `179""(2)/(3) cm^(3)`
B. `359 ""(1)/(3) cm^(3)`
C. `1437""(1)/(3) cm^(3)`
D. none of these

Answer

A

Explanation

`4piR^2=154rArr4xx(22)/7xxR^2=154`
`rArrR^2=(154xx7/(88))rArr R=7/2`
Volume of the sphere =`4/3piR^3`
`=(4/3xx(22)/7xx7/2xx7/2xx7/2)cm^3=179"2/3cm^3`