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3241004551 [841]
1 year ago
15

A foam cylinder, with a diameter of 3 inches in height of 8 inches, is carved into the shape of a cone. What is the maximum volu

me of a cone that can be carved? Round your answer to the nearest hundredths place. One point
Mathematics
1 answer:
Delvig [45]1 year ago
3 0

Answer:

volume of cone = 1/3 volume of cylinder

according to the question, volume of cylinder =

V =

\pi \times (r) {}^{2} h

diameter = 3 inches

radius = 3/2 inches

height = 8 inches

V = 22.7 * (3/2)²* 8

V = 22.7 * 9/4 * 8

V = 22.7 * 18

maximum volume a cone can have = 1/3 of cylinder

Volume of cone = 1/3 * 22.7 * 18

= 22.7 * 6

= 132.6

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