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If the capacity of a cylindrical tank is 1408 m³ and the depth of the tank is 7 meters, then the radius of its base is -
Question



If the capacity of a cylindrical tank is 1408 m³ and the depth of the tank is 7 meters, then the radius of its base is -

A.

64 meter

B.

4 meter

C.

16 meter

D.

8 meter

Correct option is D


Given, V = 1408 m³ and h = 7 m
We need to find 'r'. So, we plug the values into the formula:
1408 = πr² x 7
Divide both sides of the equation by 7π
r² = 1408 / (7π)
Using the approximation π ≈ 22/7
r² = 1408 / (7 x 22/7) r² = 1408 / 22 r² = 64
Take the square root of both sides:
r = √64 r = 8 m
Therefore, the radius of the base is 8 meters.

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