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hmm, it seems i got the answer by subtracting the volume of the prism from the 4 pyramid shaped things. Thanks anyways!
Whoops, my mistake. I was working with circumference = 24 pi. That leads to r = 12 and a 'nice' Pythagorean triple so I didn't think I had made an error. With area = 24 pi I also get R=7.
7 is correct for the sphere radius.
my radius of the sphere was 7. what is the little r??
I didn't get 7. What did you have for little r ?
yea my dad said it was easier viewing it in 2D with the plane as a line. then the pythag made radii 7. then it was easy
also, is (iii) 36pi? the radius is 3.
i am stuck on visualiztion for (ii) and i think (i) is 1152/pi
I'll give you a brief outline of a workable method for each of these. After you've given them a try, post back with answers for checking or ask for more help.
A rectangle with height 8 and length 24 is wrapped around a cylinder with height 8. The rectangle perfectly covers the curved surface of the cylinder without overlapping itself at all. What is the volume of the cylinder?