The volume of the ball is 36π. Find the diameter of the ball.

A sphere is called a spatial body. The ball inside is filled with something, so it has volume.
1) Calculate the radius of the ball.
The formula for the volume of a ball is as follows:
V = 4/3 × π × r³,
where r is the radius of the ball, π = 3.14.
Let us express the radius of the sphere from the formula for the volume:
r = ³√ (3V / 4π).
Substituting the value of the volume of the sphere into the formula, we calculate its radius:
r = ³√ (3 × 36π / 4π) = ³√ (3 × 36/4) = ³√ (3 × 9) = ³√27 = 3 cm.
2) Find the diameter of the ball.
The diameter of the ball is equal to twice its radius. Let’s write the formula for calculating the diameter:
D = 2 × r,
where D is the diameter of the ball, r is the radius of the ball.
D = 2 × 3 = 6 cm.
Answer: the diameter of the ball is 6 cm.