The total surface area of a sphere is `8pi` square unit. The volume of the sphere is

Options

A. `(8sqrt2)/(3)pi`
B. `(8)/(3)pi`
C. `8sqrt(3)pi`
D. `(8sqrt(3))/(5)pi`

Answer

A

Explanation

मानाकि गोलक की त्रिज्या r है
`therefore` कुल पृष्ठ क्षेत्रफल `=4pir^(2)`
`implies 4pir^(2)=8pi` (दिया है)
`implies r^(2)=2`
`implies r=sqrt(2)` unit
`therefore` आयतन `=(4)/(3)pir^(3)=(4)/(3)xxpixx(sqrt(2))^(3)`
`=(8sqrt(2))/(3)pi` cube unit