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September 2, 2014

September 2, 2014

Posted by **Samantha** on Monday, October 6, 2008 at 10:19pm.

A steel drum in the shape of a right circular cylinder required to have a volume of 100 cubic feet.

(a) Express the amount A of material required to the make the drum as a function of the radius "r" to the cylinder.

(b) How much material is required if the drum is of radius 3 feet?

(c) Of radius 4 feet?

(d) Of radius 5 feet?

I'm so confused, I don't even know where to start!!!

- PreCalculus -
**drwls**, Monday, October 6, 2008 at 10:29pmThey want the surface area of the cylinder, including top and bottom. The two ends have a combined area of 2 pi r^2. The side wall area is 2 pi r L, where L is the length. The relationship between L and r is

pi r^2 L = 100

Write the equation for A, using

L = 100/(pi r^2) to eliminate L

Then plug in the numbers.

- PreCalculus -
**Samantha**, Monday, October 6, 2008 at 11:03pmThanks! I didn't realize it could be so easy!

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