Question

The volume of the cone below is 567pi units^3. Find the value of X

Answer 1

x = 16

Explanation:

Volume of cone = (1/3) X vertical height X π r ².

567π = (1/3) (21) (x)² = 7 (x) ²

Divide both sides by 7:

(567π) /7 = (x) ²

81π = (x) ²

take the square root of both sides:

x = √81π

x is a length, so must be positive.

x = 16 (nearest number)