Question

Angela owns a set of 6-inch tall glasses. Each glass has a diameter of 3 inches. Angela has three people over for dinner. Each guest will be served a full glass of milk. How much milk will Angela need (in cubic inches)? Use 3.14 for pi ()

Answer 1

She will need 127.17 cubic inches of milk.

Explanation:

First we need to find the volume of the glasses.

The volume of a glass is V = πr²·h where r is the radius of the glass and h is its height.

The glasses of the problem have a diameter of 3 inches, therefore the radius is 1.5 inches.

Substituting r = 1.5 inches and h = 6 inches in the volume formula we get:

V = π (1.5)²(6) = π(2.25)(6) = 3.14(13.5) = 42.39 cubic inches.

Therefore, each glass has a volume of 42.39 cubic inches.

But Angela has 3 people over for dinner, and each guest will be served a full glass of milk.

To know how much milk Angela needs, we need to multiply the volume of each glass by 3 (because she will need 3 glasses)

She will need (42.39)(3) = 127.17 cubic inches of milk

Answer 2

The volume of a cylinder is given by
V = π·r²·h
A cylinder 3 inches in diameter and 18 inches tall will have a volume of
V = π·(1.5 in)²(18 in) = 40.5π in³ ≈ 127.17 in³


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The problem statement does not indicate that Angela will be serving herself, nor does it allow for some free space at the top of the full glass of milk.