The volume of a cylinder is 72 ft^3. The volume of a cube is 36 ft^3. What is the difference between the volume of a cone that fits exactly inside the cylinder and the volume of a pyramid that fits exactly inside the cube?

Question

anonymous · Answer

The volume of the cone = one third of the volume of the cylinder
Similarly, The volume of the pyramid = one third of the volume of the cube

anonymous · Answer

Use this and find the difference

anonymous · Answer

Give me a second to figure this out. :)

anonymous · Answer

Nevermind, this is difficult for some reason.

anonymous · Answer

How would I find 1/3 of 72^3? Divide?

anonymous · Answer

Would the volume of the cone = one third of the volume of the cylinder be: 
1119744?

anonymous · Answer

well its ft^3 not 72^3

ganeshie8 · Answer

You just need to take 1/3 of 72 to get the volume of cone that fits exactly inside the cylinder

anonymous · Answer

72/3

anonymous · Answer

Which is 24

ganeshie8 · Answer

yes ! similarly find hte volume of pyramid that fits exactly inside the cube

anonymous · Answer

That is 12, so the difference of them is 12??

ganeshie8 · Answer

$\large  \color{red}{\checkmark}$

anonymous · Answer

Wow, thank you! I am not sure why I got so stumped.

ganeshie8 · Answer

haha this question requires reading 2-3 times to interpret correctly

anonymous · Answer

wait why did you take 1\3 of 72 instead of 1\3 of 72^3

ganeshie8 · Answer

ft^3 is unit, not arithmetic operation

ganeshie8 · Answer

ft^3 is a volume unit..

anonymous · Answer

oh right

anonymous · Answer

That confused me (the unit and the question), but I got what you were saying after reading it a couple of times.

anonymous · Answer

Thank you for your help, it really helped me understand it!

ganeshie8 · Answer

good to hear that, yw :)