Question

The volume of a cylinder is 81 cubic feet. What is the volume of a cone that fits exactly inside the cylinder? Provide an explanation and proof for your answer to receive full credit.

Answer 1

@campbell_st please help

Answer 2

@phi

Answer 3

@jdoe0001

Answer 4

@jim_thompson5910

Answer 5

Hint:

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

This is only true if the cone and cylinder have the same radius and height.

Answer 6

can you please help me work thru it

Answer 7

\(\bf \textit{cylinder volume}={\color{red}{ 81ft^3}}\qquad \textit{cone volume}=\cfrac{{\color{red}{ \textit{cylinder volume}}}}{3}\)

Answer 8

so what should I right down for my answer

Answer 9

well, what did you get?

Answer 10

I understand the ploicy and everything but can I please just get the answe,,, the ting is I need to take my final by tonnight and I just have 2 more questiions on the practice exam to finsih please just understand me

Answer 11

i take FLVS

Answer 12

well, you know the volume of the cylinder is 81
so the volume of the cone with the same height and radius will be THAT/3

Answer 13

\(\bf \bf \textit{cylinder volume}={\color{red}{ 81}}ft^3\qquad \textit{cone volume}=\cfrac{{\color{red}{ \textit{cylinder volume}}}}{3}\implies \cfrac{{\color{red}{ 81}}}{3}ft^3\)

Answer 14

Can you please help me with one last one pleaseee


The volume of a cube is 48 cubic feet. What is the volume of a pyramid that fits exactly inside the cube? Provide an explanation and proof for your answer to receive full credit.

Answer 15

same scenario really
so you'd do the same because

the volume of a pyramid, with the same height and base as a cube, will be 1/3 of the volume of the cube thus \(\bf \textit{volume of cube}={\color{red}{ 48}}ft^3\qquad \textit{volume of pyramid}=\cfrac{{\color{red}{ 48}}}{3}ft^3\)