Answer:
Step-by-step explanation:
Comment
There is a short cut to this and we might just as well use it. Start by writing the general formulas for the volume of a cylinder and the volume of the cone
Equation
V_cylinder = pi * r^2 * h
V_Cone = (1/3) pi * r^2 * h1
Solution
The volumes are equal, so the right sides must be equal as well
pi * r^2 * h = (1/3)*pi * r^2 * h1 Divide both sides by pi
r^2 * h = (1/3) * r^2 * h1 Divide both sides by r^2
h = (1/3) * h1 Multiply both sides by 3
3*h = h1 h = 11 (given)
3*11 = h1
33 = h1
Answer: the cone's height = 33 meters.
