Question

where r= the radius, and h= the height of the cone. Determine the amount of liquid a paper cone can hold with a 3-inch diameter and a 5-inch height​

Answer 1

11.78 in³

Explanation:

The formula for the volume of a cone is ...

V = 1/3(πr²h)

The cone's radius is half its diameter, so is 1.5 inches. The volume is ...

V = 1/3π(1.5 in)²(5 in) = 3.75π in³ ≈ 11.78 in³

The cone can hold about 11.78 cubic inches of liquid.

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Additional comment

That's about 6.5 fluid ounces.