barthomewgonzalez barthomewgonzalez
  • 01-05-2020
  • Mathematics
contestada

The diameter and height of a cylinder are equivalent to the edge lengths of a cube. Which figure has a greater volume?

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mangococonut12
mangococonut12 mangococonut12
  • 01-05-2020
A cube has a greater volume.

I replaced the diameter and height in their equations, so we could compare.
I used 10.

The formula for cylinder volume is- (h is the Height, radius is half the diameter so it’s 10/2=5)
π * r^2*h = V
π * 5^2·10 ≈ 785.39816

The formula for a cubes volume is: (where x is a side length)
x^3
= 10^3
= 1000


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