Question

A tank is in the shape of a cylinder of radius 15 cm and height 50 cm.Work out the volume of the tank.

Answer 1

Answer:
`11250\pi \\` cm^3

Explanation:

This could be solved with integral calculus or simple arithmetic.

If you need to show the work in calculus, let me know, otherwise, here's the easiest way to reach the answer:

Volume of a solid is equal to the area of its 2D projection multiplied by its height, assuming that it's uniform throughout its entire height. Fortunately, a cylinder is uniform throughout its height.

What is a cylinder's 2D projection? A circle!

Area of a circle =
`\pi r^(2)`

r = 15

Area = 225pi cm^2

Now, we multiply the area of the 2D projection by the height of the cylinder.

225pi * 50 = 11250pi cm^3