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Mathematics 18 Online
OpenStudy (anonymous):

Gina stores her toys in a container which has a cylindrical body and a conical lid, as shown below. She wants to cover the entire exterior portion of the container with paper. How much paper, in square feet, would Gina need? 28 π 16π 20π 24 π Points earned on this question: 0

OpenStudy (anonymous):

OpenStudy (anonymous):

tips?

OpenStudy (kinggeorge):

Do it one step at a time. What's the surface area of the cylinder? (not including the base)

OpenStudy (anonymous):

hmm

OpenStudy (anonymous):

3 pi plus pi?

OpenStudy (anonymous):

cause (pi)(r)(h) + (pi)(r squared)

OpenStudy (anonymous):

3pi +pi

OpenStudy (anonymous):

4 pi

OpenStudy (kinggeorge):

First, \(r=2\). Second, it's \(2\pi r h+\pi r^2\).

OpenStudy (anonymous):

ahh

OpenStudy (anonymous):

12 pi +4 pi

OpenStudy (anonymous):

16 pi

OpenStudy (anonymous):

2 times 2

OpenStudy (anonymous):

4 pi

OpenStudy (kinggeorge):

Right. Now we need to find the surface area of the cone at the top. Do you know the formula for this?

OpenStudy (anonymous):

2 times 2

OpenStudy (anonymous):

4 pi + 4 pi + 16 pi=24 pi

OpenStudy (anonymous):

24 π

OpenStudy (anonymous):

right?

OpenStudy (kinggeorge):

Why do you have two \(4\pi\)'s in there?

OpenStudy (anonymous):

well

OpenStudy (anonymous):

the surface area of the cone is 8 pi

OpenStudy (anonymous):

so 8 pi +16 pi=24 pi

OpenStudy (anonymous):

and

OpenStudy (anonymous):

pi(2)(2) plus pi(2 squared)

OpenStudy (kinggeorge):

Explain to me where you got the 8pi from. Remember that we don't include the base of the cone since it's contained within the solid.

OpenStudy (anonymous):

ehh

OpenStudy (anonymous):

so its 20 pi

OpenStudy (anonymous):

so yo udon't apply the whole suface area

OpenStudy (anonymous):

so its pi(r)(l)

OpenStudy (kinggeorge):

Precisely.

OpenStudy (anonymous):

ty

OpenStudy (anonymous):

next problem

OpenStudy (anonymous):

I'll only do three more with ya

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