Homework Help: math

Posted by karen on Saturday, November 24, 2012 at 11:05am.

A cone has a radius of 6 inches and a height of 9 inches
a) calculate the volume of the cone. use pi. as my answer for part a i got 339.92 cubic inches,,,,,,, Is my answer correct ??
I need help doing part b and c.
b) calculate a possible radius and height of a cylinder that has the same volume as the cone.
c) If the radius of the cylinder is the same as the radius of the cone, what is the height of the cylinder?

math - Steve, Saturday, November 24, 2012 at 11:08am
v = pi/3 r^2 h = pi/3 * 36 * 9 = 108pi

for cylinder,
v = pi r^2 h, so a cylinder 1/3 as high would have the same volume as the cone.

see above. same radius, 1/3 height.
math - karen, Saturday, November 24, 2012 at 3:43pm
thank you very much - Steve

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