What is the height (in m) of a conical water tank having radius of 70 m and volume of 46,200 m³? (Take π = 22/7)

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Accepted Answer

Given:
Radius (r) = 70 m
Volume (V) = 46,200 m³
π = 22/7

Volume of cone formula:
V = (1/3) * π * r² * h

Substitute the values:
46,200 = (1/3) * (22/7) * (70)² * h

Calculate (70)² = 4900

46,200 = (1/3) * (22/7) * 4900 * h

Calculate (22/7) * 4900:
= 22 * 700 = 15,400

So,
46,200 = (1/3) * 15,400 * h

Multiply both sides by 3:
46,200 * 3 = 15,400 * h

138,600 = 15,400 * h

Divide both sides by 15,400:
h = 138,600 / 15,400 = 9

Therefore, the height of the conical tank is 9 meters.

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