Question

Can someone give me examples of a dimension of a cone and a cylinder that have the same volume?

Answer 1

i don't know much about this, but it cannot be too hard because you can pick any number you like as the volume

Answer 2

i would make it say \(10\pi\) or something

Answer 3

then make the dimensions work

Answer 4

use the equations for volume of a cone and a cylinder\[V_{cone}=\pi r^{2}\frac{ h }{ 3 }\] \[V_{cylinder}=\pi r^{2} h\]

Answer 5

set them equal to each other and then solve for one of the variables and you can plug in and find the value you want

Answer 6

you can see that

either the height of th ecylinder must be 1/3 that of cone

OR

r^2 cylinder is 1/3 r^cone

OR
some combination of the 2 options

Answer 7

volume of cylinder = 3* volume of cone
the easiest way to have the same volume is to have the same radius and the height of the cone 3*height of the cylinder
see formula above

Answer 8

what question do you have about the answers suggested?

Answer 9

did you try any?

Answer 10

\[\pi R^2 H=\frac{ 1 }{ 3 }\pi r^2 h\]
\[3R^2H=r^2h\]
R=radius of cylinder
H=height of cylinder.
r=radius of cone
h=height of cone
keeping this equation in mind you can adjust the values yourself.