If the volume of a cylinder is 72 inches^3, what is the volume of a cone that fits exactly inside the cylinder

The formula for volume of a cylinder is V = PI x r^2 x h

The formula for the volume of a come is V = PI x r^2 x h/3

Divide the area of the cylinder by 3:

72/3 = 24

The volume of the cone is 24 cubic inches.

The answer is:

Since we know the volume of the cylinder,  and we also know that both cylinder and cone have the same height and same base diameter, we can calculate the volume of a cone that fits exactly inside the cylinder using the following relation:

So, from the statement we know that the volume of the cylinder is  

Then, substituting it into the formula, we have:

Have a nice day!

make sure you have version 2.50

try looking in the very back of the book : )

step-by-step explanation:

you can download it here

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)