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A person used a cone-shaped cup to get some water from a dispenser. The cone has a height of 5 inches and a diameter of 4 inches. How much water does the cone hold? Use 3.14 for pi.

1) 20.9
2) 62.8
3) 83.7
4) 251

Answer :

Final answer:

The volume of the cone-shaped cup, calculated using the volume formula for a cone, is approximately 20.93 cubic inches. Therefore, the amount of water the cup can hold is closest to 20.9.

Explanation:

The question is asking for the volume of water that a conical cup can hold. To find the volume, we will use the volume formula for a cone, which is V = 1/3πr²h, where V is volume, r is the radius of the base, and h is the height. In this case, the height, h, of the cone is 5 inches, and the diameter is given as 4 inches. The radius, r, is half of the diameter, so r is 2 inches. Substituting these into the volume formula, we get V = 1/3 * 3.14 * (2 in)² * (5 in) = 20.93 in³.

So the cone-shaped cup holds approximately 20.93 cubic inches of water. Therefore, the correct answer among the options given is 1) 20.9.

Learn more about Volume of Cone here:

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Rewritten by : Jeany

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