Aran moved a cone-shaped pile of sand that had a height of 6 ft and a radius of 3 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

Question

Mathematics

Alvaro Woodward

4 August, 04:25

Aran moved a cone-shaped pile of sand that had a height of 6 ft and a radius of 3 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

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Cheerio · Answer 1

Volume of sand = Volume of sand in the cylindrical pi

1/3 πr^2h = πr^2h

1/3 x 3.14 x 3^2 x 6 = 3.14 x 6^2 x h

6h = 3

h = 3/6 = 1/2 ft

The height of the sand in the pit is 0.5 ft.