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
1 answer:
Answer:
volume of cone = 1/3 volume of cylinder
according to the question, volume of cylinder =
V =

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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