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A cylinder holds 87 gallons of water. How many gallons of water does a cone with the same radius
height hold? Explain your reasoning.

Respuesta :

altavistard

Answer:

the cone holds only 1/3 as much water as the cylinder, which comes to 29 gallons

Step-by-step explanation:

Let the radius in both cases be r and the height in both cases h.

Cylinder volume is (area of base)(height), and

Cone volume is (1/3)(area of base)(height).

Thus, the cone holds only 1/3 as much water as the cylinder, which comes to 29 gallons.

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