A cylindrical overhead tank of radius 2 m and height 7 m is to be filled from an underground tank of size 5.5m

Question

A cylindrical overhead tank of radius 2 m and height 7 m is to be filled from an underground tank of size 5.5m × 4m × 6m. How much portion of the underground tank is still filled with water after filling the overhead tank completely?

Accepted Answer

1.  Calculate the volume of the cylindrical overhead tank:
    Volume = pi * r^2 * h
    Using pi = 22/7, r = 2m, h = 7m
    Volume = (22/7) * (2^2) * 7 = (22/7) * 4 * 7 = 22 * 4 = 88 cubic meters.

2.  Calculate the initial volume of the underground tank:
    Volume = length * width * height
    Volume = 5.5m * 4m * 6m = 22 * 6 = 132 cubic meters.

3.  After filling the overhead tank, the volume of water remaining in the underground tank is:
    Remaining Volume = Initial Volume - Volume of overhead tank
    Remaining Volume = 132 cubic meters - 88 cubic meters = 44 cubic meters.

4.  The portion of the underground tank still filled with water is the ratio of the remaining volume to the initial volume of the underground tank:
    Portion = Remaining Volume / Initial Volume
    Portion = 44 / 132

5.  Simplify the fraction:
    44 / 132 = 1 / 3 (since 132 = 3 * 44).

Therefore, 1/3 portion of the underground tank is still filled with water.

The final answer is A) 1/3.

Answer

1/3

Answer

1/2

Answer

1/4

Answer

1/6

A cylindrical overhead tank of radius 2 m and height 7 m is to be filled from an underground tank of size 5.5m × 4m × 6m. How much portion of the underground tank is still filled with water after filling the overhead tank completely?

Explanation

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