SOLUTION: What is the height of a cylinder that has the same volume and radius as a sphere of a diameter 12 cm?
Algebra.Com
Question 801347: What is the height of a cylinder that has the same volume and radius as a sphere of a diameter 12 cm?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
What is the height of a cylinder that has the same volume and radius as a sphere of a diameter 12 cm?
***
Volume of sphere=4πr^3/3, r=radius
volume of cylinder=πr^2h, r=radius, h=height
..
r=6
4πr^3/3=πr^2h
h=4r/3=24/3=8
height of cylinder=8cm
RELATED QUESTIONS
The height of a cylinder is the same as the diameter of a sphere, which has a larger... (answered by Alan3354)
what is the volume of a cylinder that has a radius of 6 cm and a height of 28... (answered by AnlytcPhil)
The radius of a sphere and of a cylinder are the same. The diameter of the sphere and... (answered by Alan3354)
what is the volume of a cylinder that has a diameter of 7 cm and 12 cm... (answered by Fombitz)
A sphere sits inside a cylinder and touches all sides. The radius of the sphere is 10... (answered by ikleyn)
cylinder A has a radius 8 cm and height 14 cm. cylinder B has radius half as long as... (answered by JBarnum)
A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a (answered by ikleyn)
A sphere and a closed cylinder have the same radius. The height of the cylinder is 6... (answered by ankor@dixie-net.com)
A CYLINDER AND A CONE HAVE THE SAME DIAMETER AND THE SAME HEIGHT. tHE VOLUME OF THE CONE... (answered by jim_thompson5910)