Question

The volume of a sphere is 4851 cm³. Its diameter is ______.

विकल्प

• 3.5 cm

• 7 cm

• 14 cm

• 21 cm

Answer 1

The volume of a sphere is 4851 cm³. Its diameter is 21 cm.

Explanation:

Volume of sphere 4851 = `4/3 pi "r"^3`

`=> 4/3 xx 22/7 xx "r"^3 = 4851`

`=> "r"^3 = (4851 xx 3 xx 7)/(4 xx 22)`

`= (441 xx 21)/(4 xx 2) = [21/2]^3`

`=> "r" = 21/2`

∴ Diameter = 2r = `2 xx 21/2` = 21 cm