Question

I NEED VOLUME HELP!!!!!

Answer 1

In this problem we will find the volume of a solid with circular base of radius 8, for which parallel cross-sections perpendicular to the base are squares.

To do this, we will assume that the base is the circle x^2 + y^2 = 8^2, so that the solid lies between planes parallel to the x-axis at x=8 and x=-8 The cross-sections perpendicular to the x-axis are then squares whose bases run from the semicircle y=-sqrt{64-x^2}to the semicircle y=sqrt{64-x^2}
What is the area of the cross-section at x ?

A(x)=

What is the volume of the solid ?

displaystyle V=

Answer 2

holy crap. umm, can you add some correct grammar to this so it makes it easier for me to divide all of this in my head?

Answer 3

Such as periods and commas

Answer 4

I'm not trying to be rude i just need to divide the problem up into groups in my head.

Answer 5

This was copied (Ctrl-C) directly from my homework site. Give me a second

Answer 6

k12?

Answer 7

No, Webwork. College homework program

Answer 8

Nice. I'm doing some of k12's college programs.

Answer 9

To do this, we will assume that the base is the circle \[x ^{2}+y ^{2}=8^{2}\], so that the solid lies between planes parallel to the x-axis at x=8 and x=-8. The cross-sections perpendicular to the x-axis are then squares whose bases run from the semicircle y=-sqrt{64-x^2}to the semicircle y=sqrt{64-x^2}. What is the area of the cross-section at


I added all the commas and periods that was lost from coping the problem

Answer 10

thanks this makes it much easier

Answer 11

openstudy needs to revise their HTML. can isend it to you via PM?

Answer 12

it won't let me post myimage

Answer 13

alright that'll be fine. thanks

Answer 14

I have sent you the circle

Answer 15

I see it.

Answer 16

ok so now we have the next equation

Answer 17

http://www5b.wolframalpha.com/Calculate/MSP/MSP50592103gge53a496987000029c220ebb64ga50i?MSPStoreType=image/gif&s=48&w=359.&h=154.&cdf=RangeControl

Answer 18

the integer solution should be \[x= \pm8 y=0\]

Answer 19

sorry for the lack of a space between the 8 and the y

Answer 20

its fine

Answer 21

whoops! and stands for y

Answer 22

can you take it from here i have to go and finish my schoolwork for the day xD

Answer 23

I should be able too. Good luck

Answer 24

thanks mate! i'll fan you and medal you! (it'd be awesome if you could do the same)