Question

help algebra question

Answer 1

A cylinder with a radius Rand a height 2R+4 contains a cube with edge length R squared root. What fraction of the cylinder’s volume is taken up by the cube. write your answer in the simplified form

Answer 2

are you answering or just have your curser in the chat box

Answer 3

I am trying to make the pic clear

Answer 4

ok

Answer 5

ok, what is the volume of the cylinder?

Answer 6

what is the volume of the cube?

Answer 7

i dont know

Answer 8

what??? you don't know? look up at your note or google, please. I can give you, but I want you find it out by yourself

Answer 9

V=3.14(R)^2(2R+4) thats what i know i dont know how to do that

Answer 10

@Loser66

Answer 11

@SneliS

Answer 12

what do u need?

Answer 13

what fraction of the cylinder is taken up by the cube

Answer 14

what is the volume of the cube?

Answer 15

v=a^3

Answer 16

=(side)^3 = (R\sqrt 2)^3

Answer 17

yeah that all i know

Answer 18

ok, so, just make a fraction
\(\dfrac{volume~~of~~the~~cylinder}{volume~~of~~the~~cube}=\dfrac{\pi R^2(2R+4)}{R^3\sqrt8}\)

Answer 19

V_cylinder = (Pi r^2) (2r+4) V_cube = (sqrt(2) r)^3 {I assume that's what you meant.} Fraction = V_cyl / V_cube = (2Pi r^3 + 4Pi r^2) / (2sqrt(2) r^3) = (2Pi r + 4Pi) / 2sqrt(2) r = Pi (r+2) / sqrt(2) r = Pi sqrt(2) (r+2) / 2r Ed: Oops - I inverted this... the correct answer is sqrt(2) r / Pi (r+2)

Answer 20

cancel 2R^2 , you have \(\dfrac{\pi{R+2}{R\sqrt{2}}\)

Answer 21

how do i do solve that with the R