Question

16. A cylindrical well is of height 3.5 feet above the ground, the level of water is 7 feet below the ground level. If
the volume of water in the well is half the volume of the capacity of the well, find the total height of the well​

Answer 1

Answer:

Here's your possible answer

Answer 2

Answer:

21 feet

Step-by-step explanation:

Height of well above the ground level = 3.5 feet

Level of water, which is below the ground level in the well = 7 feet

Let, the height of water in the well from the base of the well = H

So, total height of well = 3.5 +7+H= (10.5 + H) Feet

Let Radius of well = R feet

It is given that the volume of water in the well is half of the volume of the capacity of the well.

Since the well is in the form of a cylinder.

Volume of cylinder=πr²h

→2 ×π×R²×H= π×R²×(10.5+H)

→ 2 H= H +10.5

→2 H - H= 10.5

H=10.5

So, total height of well = 10.5 + 10.5=21 feet