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  • 22-06-2020
  • Mathematics
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a cone has the diameter of 3 inches. the cone holds 12 cubic inches of water. to the nearest inch, what is the height of the cone?

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Wishing Wishing
  • 22-06-2020

Answer:

The height is about 5 inches.

Step-by-step explanation:

The volume for a cone is [tex]\frac{1}{3}[/tex] × π × r² × h

The radius of the cone is 1.5

12= [tex]\frac{1}{3}[/tex] × π × 1.5² × h

12= [tex]\frac{1}{3}[/tex] × π × 2.25 × h

12=0.75×π×h

Divide both sides by 0.75

16=π×h

Divide both sides by π

5≈h

The height is about 5 inches.

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