The volume of a cylinder is 81 ft3. The volume of a cube is 42 ft3. 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? Provide an explanation for your answer to receive full credit.

Question

anonymous · Answer

@jim_thompson5910  can you help me?

jim_thompson5910 · Answer

What did you get?

anonymous · Answer

What do you mean?

jim_thompson5910 · Answer

how far did you get with the problem

anonymous · Answer

I think i have to substract

jim_thompson5910 · Answer

you are correct

jim_thompson5910 · Answer

wait hold on

jim_thompson5910 · Answer

let me re-read

anonymous · Answer

but i dont think thats the only thing i have to do

jim_thompson5910 · Answer

what is the volume of a cone that fits exactly inside the cylinder

anonymous · Answer

Thats what i dont get because they dont give me the volume of the cone

jim_thompson5910 · Answer

Volume of Cone = (1/3)*(Volume of Cylinder)

jim_thompson5910 · Answer

Volume of Pyramid = (1/3)*(Volume of Cube)

anonymous · Answer

Volume of cone=24.3 
Volume of Pyramid=12.6

jim_thompson5910 · Answer

that's not correct

anonymous · Answer

why?

anonymous · Answer

What does 1/3 stands for?

jim_thompson5910 · Answer

The volume of a cylinder is 81 ft3. The volume of a cube is 42 ft3

jim_thompson5910 · Answer

1/3 means you take a third (or you divide by 3)

anonymous · Answer

Volume of cone=27
Volume of Pyramid=14

jim_thompson5910 · Answer

better

jim_thompson5910 · Answer

now find the difference

anonymous · Answer

13

jim_thompson5910 · Answer

good

anonymous · Answer

thats my answer?

jim_thompson5910 · Answer

yes it is

anonymous · Answer

Ok thx can you help me with one more please???

anonymous · Answer

i already have an answer but i want to make sure

jim_thompson5910 · Answer

ok post it

anonymous · Answer

The coordinates A (0, 0), B (0, 6), and C (3, 0) are graphed and connected together. What 3-dimensional shape will be created when this shape is rotated about the y-axis? Provide an explanation for your answer to receive full credit.

anonymous · Answer

i put it makes a cone

jim_thompson5910 · Answer

yep because you're rotating a triangle around a vertex

anonymous · Answer

But can you give me the explanation?

jim_thompson5910 · Answer

I just did

jim_thompson5910 · Answer

it might help to actually cut out a triangle from a piece of paper

anonymous · Answer

yes i did that in geogebra

jim_thompson5910 · Answer

then rotate it along an altitude

jim_thompson5910 · Answer

you'll see a cone start to form

anonymous · Answer

ok bro you helped me a lot , thank you

jim_thompson5910 · Answer

you're welcome