The diameter of this beach ball is 12 inches.

A beach ball.

Apply the formula for the volume of a sphere to determine how much air it can hold. Use the calculator to multiply by π. Round to the nearest hundredth.

Sphere V = 4
3
πr3

How much air can the beach ball hold?

288π or 904.78

Step-by-step explanation:

We know that the diameter of this beach ball is 12 inches and we want to determine how much air it can hold using the formula for the volume of a sphere which is × π × r³ where 'r' is the radius. In the question we are given the diameter not the radius but we can half the diameter to find the radius so 12 ÷ 2 = 6. The radius of the beach ball is 6 inches so let's work out how much air it can hold.

Volume = × π × r³

→ Let's substitute in the values

Volume = × π × 6³

→ Simplify

Volume = × π × 216

→ Simplify further

Volume = 288π or 904.78

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