A cylinder and a cone have the same volume. The cylinder has radius x
and height y
. The cone has radius 3x
. Find the height of the cone in terms of y
.

Step-by-step explanation:

The formula for calculating the volume of a cylinder is given as :

The formula for calculating the volume of a cone is given as :

Since the cylinder and the cone have the same volume according to the question , we will equate the two formulas, that is:

substituting the values of r , we have

⇒

since is common to both sides , it will cancel out , that is

divide through by 9

Therefore , the height of the cone in terms of y is

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.

-4

step-by-step explanation: