SOLUTION: 1 solid is a sphere and has a radius of 6 in the other solid is a cylinder with a radius of 6 in and a height of 6 in what is the difference the volumes have
in
Algebra ->
Bodies-in-space
-> SOLUTION: 1 solid is a sphere and has a radius of 6 in the other solid is a cylinder with a radius of 6 in and a height of 6 in what is the difference the volumes have
in
Log On
Question 1190570: 1 solid is a sphere and has a radius of 6 in the other solid is a cylinder with a radius of 6 in and a height of 6 in what is the difference the volumes have
in Found 3 solutions by josgarithmetic, math_tutor2020, ikleyn:Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
V = (4/3)*pi*r^3 .... volume of a sphere
V = (4/3)*pi*6^3
V = 288pi
The sphere has an exact volume of 288pi cubic inches.
V = pi*r^2*h .... volume of a cylinder
V = pi*6^2*6
V = 216pi
The cylinder has an exact volume of 216pi cubic inches
The difference of the volumes is
sphere - cylinder = 288pi - 216pi = 72pi cubic inches
Extra info:
The ratio of the volumes is
cylinder/circle = (216pi)/(288pi) = 3/4
meaning that the cylinder is exactly 3/4 the volume of the sphere
cylinder volume = (3/4)*(sphere volume)
This only works if r = h, and r is the same for both the sphere and cylinder.
(