Math Hypothesis What do you think the volume will be if you have a cylindrical pan & a conical pan with the same height and radius? Write your hypothesis using a complete se…

Question

asked Oct 3, 2019 154k views

1 Answer

Oro · Answer 1 · 2019-10-07T01:56:51+0000

Question says that you have a cylindrical pan and a conical pan with the same height and radius.

Now we have to compare the volume of both type of pan and justify that using mathematical calculations.

Hypothesis:

I would say that cylindrical pan will have more volume than conical pan volume because of larger size.

Proof:

Given that diameter of both = 2 in

then radius r=diameter/2=2/2= 1 in

we can use formula of volume of each to find the volume of each can as shown below:

Volume of cylinder
$=\pi r^2h$

Volume of cylinder
$=\pi *1^2*3$

Volume of cylinder
$=3\pi$

Volume of cone
$=(1)/(3)\pi r^2h$

Volume of cone
$=(1)/(3)\pi *1^2*3$

Volume of cone
$=\pi$

$3\pi$ is clearly more than
$\pi$

Hence volume of cylindrical pan is more than conical pan which proves that my hypothesis is correct.