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.

@luckycoins888 @Luigi0210 @EclipsedStar @pooja195 @carsonsi

HELPP PLEASE!!!

Answer 1

here are the volume formulae see if you can work out what to do. Both the cone and cylinder have the same radius and height

Cylinder

\[V = \pi r^2h\]

Cone

\[V = \frac{1}{3} \pi r^2 h\]

hope it helps

Answer 2

is that the anwer?

Answer 3

no. look at the 2 equations, what needs to happen to the cylinder's volume to get the cone's volume...

Answer 4

tbh idk im lost I need help on this question

Answer 5

@AnswerMyQuestions @Conqueror

Answer 6

@Gabylovesyou

Answer 7

idk :( @campbell_st

Answer 8

it sis simply a case the volume of the cone is 1/3 of the cylinder.

Answer 9

im so lost!!! :( @campbell_st

Answer 10

ok... volume of the cylinder is

\[V_{cylinder} = \pi r^2 h\]

Volume of the cone is

\[V_{cone} = \frac{1}{3} \pi r^2 h\]

both equations contain \[\pi r^2 h\]

and the radius and height are identical then

\[V_{cone} = \frac{1}{3} \times V_{cylinder}\]

so now substitute the volume of the cylinder you have been given and calculate the volume of the cone.

Answer 11

yea ik that @campbell_st

Answer 12

sorry i missed this

Answer 13

its ok @carsonsi