The outer diameter of a spherical shell is 12 cm and its inner diameter is 8 cm. Find the volume of metal contained in the shell. Also, find its outer surface area.

Answer

`636.95 cm^(3), 452.57 cm^(2)`

Explanation

Volume of iron contained in the shell
`= (4)/(3) pi xx {(6)^(3) - (4)^(3)} cm^(3) = ((4)/(3) xx (22)/(7) xx 152) cm^(3) = 636.95 cm^(3)`
Outer surface area `= (4pi xx 6 xx 6) cm^(2) = (4 xx (22)/(7) xx 36) cm^(2) = 452.57 cm^(2)`