The cylinder is described near the ball. The volume of the ball is 24. Find the volume of the cylinder.

1. The volume of a cylinder is equal to the product of the base area by the height of the given cylinder.

Since the ball is inscribed in a cylinder, the height is equal to the diameter of the ball.

2. The area of the base is equal to the area of a circle inscribed in the ball through the diameter.

S = pi * R ^ 2

3.V = p i * R ^ 2 * 2R = 2pi * R ^ 3

4. The volume of the ball is 4/3 * pi * R ^ 3

5. Let us express the volume of the cylinder in terms of the volume of the ball.

6.3 / 2 * 4/3 * pi * R ^ 3

The volume of the cylinder is 3/2 the volume of the ball.

7.3/2 * 24 = 36

Answer: 36