Volume Question

Question

Find the missing height of the cone if the volume = 414.48 ft³, the radius = 6 ft, and 3.14 is used for π.

Answer 1

to find the height of the cone, we use the formula for the volume of a cone:

V = π * r² * h/3

414.48 = 3.14 * (6)² * h / 3 Here we substitute the known values for volume, radius and Π

414.48 = 113.04 * h/3 Then we take the square of the radius = 36 and multiple by 3.14

414.48 / 113.04 = h/3 Then divide both sides of the equation by 113.04

3.667 = h/3 Then we multiply both sides by 3

11 = h Giving the final value of 11 for the height

Answer 2

Hello Sri,

The equation for the volume of a cone is:

V = 1/3(3.14)r^2h

V = 414.48

r = 6

Plug in those values and solve for h:

414.48 = 1/3(3.14)(6)^2h

414.48 = 37.68h ; divide both sides by 37.68

11 = h

The missing height is 11ft.