Question

Can you help me plss! ​

Answer 1

(1/3) × the cone's volume = The cylinder's volume.

Step-by-step explanation:

Step 1:

The volume of any cone is obtained by multiplying $\frac{1}{3}$ with π, the square of the radius ($r^{2}$) and the height ($h$).

So the volume of the cone, $V=\pi r^{2} \frac{h}{3}$.

Step 2:  

The cylinder's volume is nearly the same as the cone but instead by multiplying $\frac{1}{3}$ we multiply with 1.

So the cylinder's volume is determined by multiplying π with the square of the radius of the cylinder ($r^{2}$) and the height of the cylinder ($h$).

So the the cone's volume, $V = \pi r^{2} h$.

Step 3:

Now we equate both the volumes to each other.

The cone's volume : The cylinder's volume = $\pi r^{2} \frac{h}{3}: \pi r^{2} h$ = $\frac{1}{3} : 1$.

So if we multiply the cone's volume with $\frac{1}{3}$ we will get the cylinder's volume with the same dimensions.