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Virty [35]
3 years ago
14

A cone has a diameter of 3 inches the cone holds 12 cubic inches of water to the nearest in what is the height

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
3 0

Answer:

5 inches

Step-by-step explanation:

A cone's volume can be found using the formula V = \frac{1}{3} \pi r^2 h. If the cone has a diameter of 3 inches then its radius is half r= 1.5 inches. Substitute r = 1.5 and V = 12 cubic inches.

V = \frac{1}{3} \pi r^2 h \\12 = \frac{1}{3} \pi (1.5)^2 h \\12 = \frac{1}{3} \pi (2.25) h\\12 = 2.355h\\5.10 = h

This means the height of the cone is 5.10 inches or to the nearest inch 5 inches.

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