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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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a. They have the same volume.

b. The cube

c. The cylinder

d. There is not enough information.

The cube has a greater volume

Step-by-step explanation:

The volume of a cylinder of height H and diameter radius D has a volume given by the area of the base (a circle of radius D/2), and the  height H.

Notice also that the cube has the same edge dimensions of the cylinder, so as a cube has equal length, width, an height, that means that the height H of the cylinder must also be the same dimension of its diameter (H = D)

So we can refer all quantities as D:

Volume of the cylinder =

while the volume of a cube of side "D" is :

Volume of the cube =

Notice as well that the number is smaller than 4, therefore the fraction that multiplies in the volume of the cylinder, is reducing its value.

Therefore the cube has a larger volume than the cylinder.

answer: i believe it’s 245.04

step-by-step explanation:

5050

hope this !