A sandcastle mold is in the shape of a cylinder with a diameter of 6 inches and a height of 8 inches. To the nearest cubic inch, how much sand will fit in the sandcastle mold? Explain how you determined your answer. In your explanation, use the word pi instead of the symbol pi

Question

Mathematics

Paulina Kelly

25 October, 07:27

A sandcastle mold is in the shape of a cylinder with a diameter of 6 inches and a height of 8 inches. To the nearest cubic inch, how much sand will fit in the sandcastle mold? Explain how you determined your answer. In your explanation, use the word pi instead of the symbol pi

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Answers (1)

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Gabriela Strickland · Answer 1

To evaluate for the amount of sand that can fit in the sandcastle, we obtain the volume of the castle.

V=πr²h

From the information:

r=6/2=3 inches

h=8 inches

thus the volume will be:

V=π*3²*8

V=72pi

Hence the amount of sand required will be 72pi in³