Question

A sphere and a cylinder have the same radius and height. The volume of the cylinder is mc013-1.jpg. What is the volume of the sphere?

Answer 1

k

Answer 2

What is the volume of the cylinder?, it messed up

Answer 3

50ft sorry it messed up

Answer 4

50 ft^3 ?

Answer 5

yea

Answer 6

ok...

Answer 7

Volume of a Sphere = (4/3) * pi * r^3

and

Volume Cyl = pi * r^2 * h

Answer 8

you recognize those?

Answer 9

yes those are formulas for volume

Answer 10

They both have the same radius, r

the thing to recognize is it says they are both the same height, so...

Answer 11

the height of the cylinder is the diameter of the sphere, or , 2*r

Answer 12

you see that?

Answer 13

yes but r^2 and r^3 doeesnt simplify does it?

Answer 14

sub in h=2r for the cylinder

Answer 15

oh....

Answer 16

Sphere Vol = (4/3) * pi * r^3

Cylinder Vol = 50 = pi * r^2 * 2r

Answer 17

Now you have 2 equations with 2 unknown values, r and sphere volume.

you can solve for those

Answer 18

thank you very much

Answer 19

2pi *r^3 = 50 , solve r, use that in sphere volume..

Answer 20

welcome

Answer 21

i got the volume sphere as 100/3 ft^3, for ya to check..