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A cone has a diameter of 3 inches. The cone holds 12 cubic inches of water. To the nearest inch, what is the height of the cone?

A cone has a 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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A cone has a diameter of 3 inches. The cone holds 12 cubic inches of water. To the nearest inch, what is the height of the cone?

User Kjohri
by
8.4k points

1 Answer

6 votes
Use the equation for the volume of a cone to solve for the height:

V= (1)/(3) \pi r^(2)h \\ 12= (1)/(3) \pi *2.25h \\ h=5.096 inches
User Serge Insas
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8.1k points
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