Question

The volume of a cylinder is 93 ft3. The volume of a cube is 48 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.


Can anyone please help me with this question?

Answer 1

@jim_thompson5910

Answer 2

@bahrom7893 can u plz help?

Answer 3

@Luigi0210

Answer 4

@agent0smith

Answer 5

Hints:

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

Note: both the cone and cylinder have the same radius and height

--------------------

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

Note: both the pyramid and cube have the same dimensions

Answer 6

so what do i do now?

Answer 7

@jim_thompson5910

Answer 8

"The volume of a cylinder is 93 ft^3"

so the volume of the cone is ???

Answer 9

idk..

Answer 10

help? hints?

Answer 11

use

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

Answer 12

31 ft^3?..

Answer 13

yep

Answer 14

"The volume of a cube is 48 ft^3"

volume of pyramid = ???

Answer 15

16 ft^3?

Answer 16

yep

Answer 17

now find the difference of the cone and pyramid

Answer 18

volume of a pyramid is 16 ft^3 and volume of a cone is 31 ft^3

Answer 19

subtract the two now

Answer 20

15

Answer 21

correct

Answer 22

so.. how do we get to our answer?

Answer 23

you just got it

Answer 24

so how do i put all of this together?

Answer 25

show how to get the volumes of the cone and pyramid

then show the subtraction to show the difference in the two volumes

Answer 26

so i say to get the volume of the cone i had to multiply 93 by 1/3 and to get the volume of the pyramid i had to multiply 48 by 1/3. then i just subtracted 16 from 31 to get 15 as my answer?..

Answer 27

@jim_thompson5910