Question

Can you find the volume and tell me how you came up with the answer? :) thanks

Answer 1

Hello,

The volume of a cylinder is $\pi*R^{2}*h$.

We have : h = 17 cm but we don't have the radius.

Therefore let's find it.
You have a rectangle triangle and one of its length is the radius of the cylinder base.

So let's apply the Pythagorean theorem.

For us : AB = 17 cm, AC = 15

AB² = AC² + BC²
17² = 15² + BC²
BC² = 17² - 15²
BC² = 289 - 225
BC² = 64
BC = √64
BC = 8 cm

Therefore the radius measures 8 cm and now we have everything to calculate the cylinder's volume.


$\pi*R^{2}*h$
$= \pi *8^2*17$ $= 3418 cm^3$ Hope it helps !