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Mathematics 16 Online
OpenStudy (anonymous):

Evan is painting a stool that has a cylindrical seat and four rectangular prism legs. The seat has a diameter of 8 inches and a height of 2 inches. Each leg is 2 inches by 2 inches by inches. How much area will Evan have to paint? Use for . Show your work.

OpenStudy (anonymous):

plz help

Directrix (directrix):

>> Is this " Each leg is 2 inches by 2 inches by inches" supposed to be 2 by 2 by 2 or something else?

Directrix (directrix):

If the stool is already assembled, then Evan will not be able to paint the surface of each leg that is attached to the stool, I assume. And, do you @Amandawalden123 think that Evan will paint the surface of each leg where the leg touches the floor. We need to know that for the area of the stool legs which will be painted. And, do you think we will be painting the underside of the cylindrical stool? If you have a diagram, please post it. If not, we'll have to make some assumptions about what Evan is painting and go from there.

Directrix (directrix):

@Amandawalden123 Do you have a diagram of the stool? Yes or No? We need to get to work.

OpenStudy (anonymous):

no

OpenStudy (anonymous):

i dont have a diagram

Directrix (directrix):

Well, Evan has been doing a lot of painting as you see on the attachment. So, we will not paint where the legs touch the floor or attach to the seat.

OpenStudy (anonymous):

ok

Directrix (directrix):

Look at the problem as written in your text. Tell me what is the missing dimension of the leg. Read what you posted: 2 inches by 2 inches by ???? inches. What is ??? supposed to be? That is holding us up. @Amandawalden123

OpenStudy (anonymous):

it would be by 4 inches ?

Directrix (directrix):

Is 4 the number given in the problem in your text. This is not something that we can compute or guess. Does this --. >> it would be by 4 inches ? mean that the legs are 2 by 2 by 4 or that you "think" the legs are 2 by 2 by 4?

OpenStudy (anonymous):

i was thinking it was 2 by 2 by 4

Directrix (directrix):

Surface Area of Cylinder: SA = 2*π*r*h + 2B where r is the radius of the stool seat and 2 is the height of the seat. B is the area of the circular base of the seat. SA (seat) = 2*π*4*2 + 2*π*4*4 Your Task @ Crank out what this equals": 2*π*4*2 + 2*π*4*4 -------------- Another part of the question was not posted: Use for . Show your work. What do we use for pi: 3.14 ?

Directrix (directrix):

@Amandawalden123 Crank out what this equals": 2*π*4*2 + 2*π*4*4 Use 3.14 for pi, I assume. While you do that, I will work on the legs.

OpenStudy (anonymous):

ok

Directrix (directrix):

Lateral Area of a rectangular prism (leg) excluding two bases. LA = ph where p is the perimeter of the base and h is the height LA (one leg) = (2+2+2+2)*4 = 32 square inches. There are 4 legs so the total lateral area of the 4 legs is 32*4 = 128 square inches. -->

OpenStudy (anonymous):

i having a little bit of trouble

OpenStudy (anonymous):

im

Directrix (directrix):

Let's break up what you are calculating: 2*π*4*2 + 2*π*4*4 ============== What is 2* 3.14 * 4 * 2 -> What is this product if you multiply 2 times 3.14 times 4 times 2 --> @Amandawalden123 Use your calculator or the Google calculator.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

i got 50.24

Directrix (directrix):

Good. Now, enter this in the Google search box or your calculator: 2*π*4*4 which is 2*3.14*4*4 =" --> @Amandawalden123 Post what you get.

OpenStudy (anonymous):

i got 200.96

Directrix (directrix):

Not correct for this: 2 * 3.14 * 4 * 4 = That is 2 times 3.14 times 4 times 4. Try again.

Directrix (directrix):

Are you using the Google calculator, your own mechanical calculator, or the calculator on your neck. Any will do.

OpenStudy (anonymous):

mechanical calculator

OpenStudy (anonymous):

my own

Directrix (directrix):

I don't know what's up: 2 times 3.14 times 4 times 4 = 6.28 times 4 times 4 = 6.28 times 16 = 100.48

Directrix (directrix):

Now, add 100.48 and 50.24. What is that sum? That will be the stool which was this: 2*π*4*2 + 2*π*4*4.

OpenStudy (anonymous):

oh i did it all at once i went 2 x 3.14 x 4 x 4

Directrix (directrix):

That should work but I do not know the operating system of your mechanical calculator. Just use the one on your neck. :)

OpenStudy (anonymous):

ok

Directrix (directrix):

Still waiting for this: add 100.48 and 50.24 = ? ------>

OpenStudy (anonymous):

oh sorry i got 150.72

OpenStudy (anonymous):

is that right

Directrix (directrix):

That is the total area of the cylindrical seat. That includes the bottom of the seat where the legs attach.

Directrix (directrix):

Once again, here is my leg work: Lateral Area of a rectangular prism (leg) excluding two bases. LA = ph where p is the perimeter of the base and h is the height LA (one leg) = (2+2+2+2)*4 = 32 square inches. There are 4 legs so the total lateral area of the 4 legs is 32*4 = 128 square inches. -->

Directrix (directrix):

Assuming that is correct, add 128 and 150.72. What is that sum?

Directrix (directrix):

>is that right I do not know because I am waiting for you to find the sum. 128 and 150.72. What is that sum? ---> @Amandawalden123

OpenStudy (anonymous):

ok

Directrix (directrix):

>>is that right I do not know because I am waiting for you to add 128 and 150.72

OpenStudy (anonymous):

i still multiply right

Directrix (directrix):

ADD 128 and 150.72. Do 128 PLUS 150.72

Directrix (directrix):

I got 278.72 square inches. What did you get? @Amandawalden123

OpenStudy (anonymous):

ok i got 278.72

OpenStudy (anonymous):

what else do you need me to do because i suck a math

Directrix (directrix):

I cannot see the main page of OpenStudy. Can you? Yet, I went to my Profile Page and looked at "Questions Answered" to find the thread where we were working. As far as I know, this stool problem is finished.

OpenStudy (anonymous):

ok im still here :)

Directrix (directrix):

@Amandawalden123 Did you check the answer to the problem? Recall that this is what we got: 278.72.

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