Question

When 8 spherical meatballs are dropped into a container of pasta sauce, the sauce level rises 3 inches. The container is a cylinder with a diameter of 20 inches. What is the volume of one meatball? Round answer to the tenth place

Answer 1

117.8 cubic inches

Explanation:

You want the volume of a meatball if 8 of them in a 20-inch diameter container raise the level of sauce by 3 inches.

Volume

If 8 meatballs raise the level by 3 inches, the volume of one meatball is equivalent to the volume of a cylinder 20 inches in diameter and 3/8 inches high.

V = π/4·d²·h

V = (π/4)(20 in)²(3/8 in) = 300π/8 in³ ≈ 117.8 in³

The volume of one meatball is about 117.8 cubic inches.

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Additional comment

That is the volume of a sphere about 6.08 inches in diameter. That's a pretty large meatball.

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