A cylinder has a radius of 5 cm and a height of 12 cm. What would the might of a cone need to be if it has the sane volume and radius? Round to the nearest cm.
3 answers
if you type in your question on google it will pull up some videos and other stuff right away, but i think the first video you see will be able to help you out
cylinder: pi r^2 h
cone: 1/3 pi r^2 h
if the volumes and radii are the same, then the cone would have to be 3 times as tall.
cone: 1/3 pi r^2 h
if the volumes and radii are the same, then the cone would have to be 3 times as tall.
pi*r^2*12 = pi*r^2*h/3.
Divide both sides by pi*r^2:
12 = h/3,
h = ---------cm. = Ht. of cone.
Divide both sides by pi*r^2:
12 = h/3,
h = ---------cm. = Ht. of cone.