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Mathematics 19 Online
OpenStudy (just_one_last_goodbye):

@jigglypuff314

OpenStudy (just_one_last_goodbye):

The holding tanks are congruent in size, and both are in the shape of a cylinder that has been cut in half vertically. The bottom of the tank is a curved surface. What is the volume of both tanks if the radius of tank #1 is 15 feet and the height of tank #2 is 120 feet? You must explain your answer using words, and you must show all work and calculations to receive credit.

OpenStudy (just_one_last_goodbye):

http://prntscr.com/baci4r

jigglypuff314 (jigglypuff314):

do they mean volume of both tanks as in they want two numbers or the combined amount?

jigglypuff314 (jigglypuff314):

well if each is a half of a cylinder and they are the same size (congruent) this means that the volume of both would just be the volume of a cylinder with a radius of 15 and a height of 120 right? ;)

OpenStudy (just_one_last_goodbye):

yup :D meaning either way... if we calculate 1 whole cylinder that will be the answer and if they want the cylinder volume for each one just divide it in half.

jigglypuff314 (jigglypuff314):

exactly! :) You got this ^_^

OpenStudy (just_one_last_goodbye):

Just need help on the formula .-.

jigglypuff314 (jigglypuff314):

you can think of it this way volume is always area of the base times height the base of a cylinder is a circle so the area of the base is pi * (radius)^2

OpenStudy (just_one_last_goodbye):

3.14 * (15) (120)

OpenStudy (just_one_last_goodbye):

I think that wrong right

OpenStudy (just_one_last_goodbye):

?

jigglypuff314 (jigglypuff314):

15 is squared ;)

jigglypuff314 (jigglypuff314):

because area of the circle = pi * (radius)^2

OpenStudy (just_one_last_goodbye):

V = 3.14 (15)^2 (120) ?

jigglypuff314 (jigglypuff314):

yes :)

OpenStudy (just_one_last_goodbye):

15^2 = 225 3.14 * 225 = 706.5

jigglypuff314 (jigglypuff314):

good! then multiply that by 120

OpenStudy (just_one_last_goodbye):

84780

OpenStudy (just_one_last_goodbye):

now divide that in half right?

OpenStudy (just_one_last_goodbye):

42390

jigglypuff314 (jigglypuff314):

I think the answer they want might be the 84780 but I'm not too sure that's what I was asking in my first comment ^_^"

OpenStudy (just_one_last_goodbye):

you're right... I should just exclude that :D

OpenStudy (just_one_last_goodbye):

Another?

jigglypuff314 (jigglypuff314):

sure sure ^_^

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