(a) Write the volume V of a cone as a function of the radius r and the height h. (b) For this cone, you are given that the height is double the radius. Rewrite the function in part (a) so that it is now just a function of the volume V of a cone with respect to the height h. (substitution step)

Step-by-step explanation:

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

where:

r is the radius of the cone

h is the height of the cone

Hence the volume of the cone as a function of radius r and height h is:

b) If the height of the cone is double the radius, then:

Substitute into the formula derived in (a) as shown:

Hence function of the volume V of a cone with respect to the height h is

answer: 12

step-by-step explanation:

because yes