Question

A cylindrical vase has a diameter of 6 inches. When completely filled, the vase holds 72π cubic inches of water.

What is the height of the vase?

Answer 1

Height of cylindrical vase = 8 inches

Explanation:

Given:

Diameter of cylindrical vase = 6 inches

Volume of cylindrical vase = 72π inches³

Find:

Height of cylindrical vase

Computation:

Radius of cylindrical vase = Diameter of cylindrical vase / 2

Radius of cylindrical vase = 6 / 2

Radius of cylindrical vase = 3 inches

Volume of cylinder = πr²h

Volume of cylindrical vase = πr²h

72π = πr²h

72π = π(3)²h

72π = 9πh

72/ 9 = h

Height of cylindrical vase = 8 inches