Question

The formula for the volume of a cone is V = 1/3pir2h where V=volume, r=radius of the base of the cone, and h=height of the cone. A. Solve the formula for h. B. What is the height of a cone with a volume of 1017.36 square inches and a radius of 6 inches? Us 3.14 to approximate pi.

Need to have work please:)

Answer 1

approximately 27 inches.

Explanation:

A. To solve the formula for h:

Given the formula: V = (1/3) * π * r^2 * h

Step 1: Divide both sides of the equation by [(1/3) * π * r^2]:

V / [(1/3) * π * r^2] = h

Step 2: Simplify the right side of the equation:

h = V / [(1/3) * π * r^2]

B. Given: V = 1017.36 square inches and r = 6 inches

Substitute the values into the formula for h:

h = 1017.36 / [(1/3) * 3.14 * 6^2]

Calculate the value of h:

h = 1017.36 / [(1/3) * 3.14 * 36]

h = 1017.36 / (37.68)

h ≈ 27

The height of the cone is approximately 27 inches.