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2 years ago

The volume of a right cone is 41251 unit. If its diameter measures 30 units, find its height.

Mathematics

1 answer:

siniylev [52]2 years ago

4 0

Volume is a three-dimensional scalar quantity. The height of the cone is 175.075 units.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the right cone is 41,251 unit³, while the diameter of the cone is 30 units. Therefore, the radius of the cone is 15 units. Thus, the height of the cone will be,

Volume = (1/3)×π×r²×h

41,251 = (1/3)×π×(15²)×h

h = 175.075 units

Hence, the height of the cone is 175.075 units.

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