Question

If the radius of the right cylinder is 5 in and the radius of the oblique cylinder is 4 in, they will have the same volume as long as they are the same height.
a. True
b. False​

Answer 1

Answer:

False

Step-by-step explanation:

The volume of a right cylinder is given by the formula:

$V=\pi r^2h$

And the volume if a oblique cylinder is also given by the formula:

$V=\pi r^2h$

Regardless of the height, if the radius are different, then the volume would not be the same.

Algebraically:

$\pi(4)^2h\neq\pi(5)^2h\\16\pi\neq25\pi$