A company makes cones out of solid foam. Each cone has a height of 15 inches, and its base has a diameter...

Question

A company makes cones out of solid foam. Each cone has a height of 15 inches, and its base has a diameter of 3 inches. How much foam is needed to make 160 cones?
Use 3.14 for π, and do not round your answer.

SnapAndSolve AI · Accepted Answer

The volume V of a cone is given by the formula:

V = (1/3)πr²h

Given:

Height (h) = 15 inches
Diameter = 3 inches, so Radius (r) = 3/2 = 1.5 inches
π = 3.14

Volume of one cone:

V = (1/3) × 3.14 × (1.5)² × 15

V = (1/3) × 3.14 × 2.25 × 15

V = (1/3) × 3.14 × 33.75

V = 35.325 cubic inches

For 160 cones:

Total Volume = 160 × 35.325 = 5652 cubic inches

Therefore, 5652 cubic inches of foam is needed.

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A company makes cones out of solid foam. Each cone has a height of 15 inches, and its base has a diameter...

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