Question

A closed cylindrical tank is 8 feet long and
3 feet in diameter. When lying in a
horizontal position, the water is 2 feet deep.
If the tank is in the vertical position, the
depth of water in the tank is

Answer 1

Concept:

We know the volume of the cylinder is $V = \pi r^{2} h$

Given:

Height of the cylinder 8ft

Diameter= 3ft

To find:

The depth of water in the tank.

Solution:

In this question, we are asked to determine the volume of the given cylinder.

We know the volume of the cylinder is

$V = \pi r^{2} h$

So, we will put the given values in the formula.

Here d= 3cm

So, r= 1.5cm and $\pi =3.1416$

$v=\pi r^{2} h\\v=\pi *1.5^{2} *8\\v= 3.1416*1.5*1.5*8\\v=56.55$

Since, in the question, all the values are in terms of ft, so we will also convert our volume from $cm^{3}$ to ft.

When we convert the volume using Pint (Fluid) (Pt) into Cubic Foot (ft³, cu ft) we get:

$56.55 Pt = 0.9449544270833 ft^{3}$

∴The depth of water in the tank is $0.9449544270833 ft^{3}$

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