1 Answer

Netsplit · Answer 1 · 2019-04-14T07:36:43+0000

The formula of a volume of a cylinder:

$V_(cylinder)=\pi r^2H$

The formula of a volume of a cone:

$V_(cone)=(1)/(3)\pi r^2H$

Therefore, if a cone has the same radius and height like a cylinder, then the volume of a cone is three times smaller than the volume of a cylinder.

Therefore we have:

$V_(cone)=(1)/(3)V_(cylinder)\to V_(cone)=(1)/(3)(300)=100\ ft^3$

The formula of a volume of a sphere:

$V_(sphere)=(4)/(3)\pi R^3$

If a cone has that same lengths of a radius and a height, then the formula of a volume is:

$V_(cone)=(1)/(3)\pi r^2r=(1)/(3)\pi r^3$

If a cone and a sphere have the same radius, then the volume of a sphere is four times greater than a volume of a cone.

Therefore we have:

$V_(sphere)=4(100)=400\ ft^3$

Please log in or register to add a comment.