A container in the shape of a cone has a volume of 40 cubic units. Its base has an area of 15 square units. What is the height of the container?

h = 2,67 units of length

Step-by-step explanation:

Volume of a cone is

V (c) = 1/3*π*r²

Where π*r² is area of the base

we know V (c) = 40 cubit units, and area of the base 15 square units, then

V (c) = Area of the base * h (height of the cone)

V (c) = 15 * h

h = V (c) / 15 ⇒ h = 40 / 15 ⇒ h = 2,67 units of length