SOLUTION: Your city council has decided to build a cone shaped reservoir. The plan that was given to the building contractor and it indicated that the top diameter of the reservoir must be 5

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Question 1198992: Your city council has decided to build a cone shaped reservoir. The plan that was given to the building contractor and it indicated that the top diameter of the reservoir must be 50m. The depth of the reservoir is indicated at 30m.
I. What volume of water can be stored in the reservoir?
II. What is the surface area of the wall of the cone?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the top diameter of the reservoir must be 50m.
The depth of the reservoir is indicated at 30m.
:
I. What volume of water can be stored in the reservoir?
the volume of a cone: V = 1%2F3*pi%2Ar%5E2%2Ah
radius is half the diameter: 25m
V = 1%2F3*pi%2A25%5E2%2A30
V = 19635 cubic meters
:
II. What is the surface area of the wall of the cone?
Surface area of a cone. SA = pi%2Ar%2AL, where L is the slant height
Find the slant height which is the hypotenuse of a triangle formed by the radius and the height
L = sqrt%2825%5E2+%2B+30%5E2%29
L = 39 meters
then
SA = pi%2A25%2A39
SA = 3067 sq meters