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 sentence. prove your hypothesis by showing your math work.

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

Volume of cylinder

Volume of cylinder

Volume of cone

Volume of cone

Volume of cone

is clearly more than

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

25/6 hope it : )

step-by-step explanation: