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.

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step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.