Aran moved a cone-shaped pile of sand that had a height of 4 ft and a radius of 3.2 ft. He used all of the sand to fill a cylindrical pit with a radius of 6 ft. How high did the sand reach in the pit? Use 3.14 to approximate pi and round your answer to one decimal place.

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Mathematics

1 August, 07:42

Aran moved a cone-shaped pile of sand that had a height of 4 ft and a radius of 3.2 ft. He used all of the sand to fill a cylindrical pit with a radius of 6 ft. How high did the sand reach in the pit? Use 3.14 to approximate pi and round your answer to one decimal place.

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Liberty Zhang · Answer 1

So volue of a cone=area of circle base times heigt times 1/3

height=4

area of base=pi times r^2

area of abse=aprox 3.14 times 3.2^2=32.1536

32.1536 times 4 times 1/3=32.1536 times 4/3=42.87 the amount of sand is 42.9 ft^3