A waffle cone has a height of 7 inches and a diameter of 3 inches. What is the volume of ice cream that can be contained within the cone? Use 3.14 for pi. Round your answer to the nearest hundredth.

15.43 cubic inches
16.49 cubic inches
17.86 cubic inches
18.89 cubic inches

Question

A waffle cone has a height of 7 inches and a diameter of 3 inches. What is the volume of ice cream that can be contained within the cone? Use 3.14 for pi. Round your answer to the nearest hundredth.

 15.43 cubic inches
 16.49 cubic inches
 17.86 cubic inches
 18.89 cubic inches

akashdeepdeb · Answer

Volume of a cone is given by 1/3 * pi * r * r * h
r = d/2

r = radius
d = diameter
h = height

anonymous · Answer

yes i understand that but i dont get 1/3

automaticloveletter · Answer

I think it's 1/3 because there's three sides in a triangle and a cone is just a 3d form of a triangle. The formula is what @AkashdeepDeb gave you so all you have to do is plug in the numbers in your calculator (or however you get your answers) and you'll get it. To find the radius when given the diameter is simple (just divide by two) 

Explained Answer: 1/3 * 3.14 * 1.5 * 1.5 * 7 = 16.485 
Which can be rounded to --> 16.49 <--

anonymous · Answer

Thank you so much

anonymous · Answer

well i got a 80 on my test so what ever it was was right

automaticloveletter · Answer

Whoops, why is it 1/3 then?

automaticloveletter · Answer

Well either way the answer was right but I'm not sure why it's 1/3 sorry about that lol!

akashdeepdeb · Answer

|dw:1429541952215:dw| https://proofwiki.org/wiki/Volume_of_Right_Circular_Cone

akashdeepdeb · Answer

It's okay. :)
You'll probably understand the proof a little later.