Question

an overhead water tanker is in the shape of a cylinder has capacity of 61.6 cu.mts.the diameter of the tank is 5.6m.find the height of the tank

Answer 1

Given:

An overhead water tanker is in the shape of a cylinder has a capacity of 61.6 cu.mts.

The diameter of the tank is 5.6m

To find:

The height of the tank

Solution:

The capacity of the tanker = Volume of the cylindrical tanker = 61.6 m³

The diameter of the tank = 5.6 m

∴ The radius of the tank = $\frac{diameter}{2} = \frac{5.6}{2} = 2.8\:m$

Let's assume "h" meters as the height of the cylindrical tank.

We know the formula of the volume of a cylinder is given as:

$\boxed{\bold{Volume \:of\:a\:cylinder\:= \: \pi r^2h}}$

Now, substituting the given values in the formula above,

$61.6 = \frac{22}{7} \times (2.8)^2\times h$

$\implies 61.6 = 22 \times 0.4\times 2.8\times h$

$\implies h = \frac{61.6}{24.64}$

$\implies \bold{h = 2.5\:m}$

Thus, the height of the cylindrical tank is → 2.5 m.

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Answer 2

Answer:

the height if cylinder tank is 2.5m

Step-by-step explanation:

The capacity of the tanker=volume of the cylinder tank

we know volume of a cylinder =πr²h

now, 61.6 =27/7 ×(2.8)×h

=61.6=22×0.4×2.8×h

=h=61.6/24.64=2.5

=h=2.5

Therefoure, the height of the cylinder tank is 2.5m