Question

The area of this cylinder's base is one hundred fifty square inches. The height of the cylinder is 6 inches. What is the volume of the cone that has the same base area and height? Show the steps of your solution and explain your work.
cylinder having a height of 6 inches

Answer 1

V (cylinder) = area of base x height
you can solve this from the above details outlined in the q... yeah?

V (cone) = 1/3 x Area of base x height

so if area of base and height are identical to cylinder... then volume of cone would be 1 third of volume of cylinder... right?

Answer 2

May you help with 1 more?
:S

Answer 3

sure

Answer 4

The pyramids at Giza include several square-based pyramids that were built in honor of the Egyptian gods. One of these incredible monuments is the Khafre pyramid, built as part of a temple complex, with the famous Sphinx at its base. The base length of this pyramid is seven hundred five feet, and its height is four hundred seventy-one feet. Massive dimensions indeed! Calculate the volume of the Khafre pyramid. Show the steps of your solution and explain your work.

Answer 5

I don't get it?...

Answer 6

so Volume (pyramid) = same as V(cone)
= 1/3 x area of base x height

so the base is a square
so in a rectangle, area = Length x width
but in a square, area = Length x Length... as all sides are equal

so are of base = L x L = 705' x 705' = something...?

and height = 471'

so V (pyramid) = 1/3 x area of base x height
= 1/3 x L x L x H
= 1/3 x 705 x 705 x 471

Answer 7

Oh thanks! And for the first question I did my math... Is the cylinder and cone not identical?

Answer 8

identical base area
identical height
different volumes

Answer 9

Thanks for your help! :)

Answer 10

amount of sand you could pour into the cone tho is one third the amount you could pour into the cylinder

Answer 11

np, slaters ;)