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21 votes
21 votes
The diameter and height of this cylinder are equal to the side length, s, of the cube in which cylinder is inscribed. What is the expression for the cylinders volume ?

User Harry F
by
3.2k points

2 Answers

24 votes
24 votes

Answer:

1/4πs^3

Explanation:

The volume of a cylinder = πr^2h.

Here its height h = s and its radius r = 1/2 diameter = s/2.

So it's volume is π(s/2)^2s

= 1/4πs^3.

User Peter Nixey
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2.5k points
17 votes
17 votes

Answer:

The correct option for plato is A

Explanation:

The diameter and height of this cylinder are equal to the side length, s, of the cube-example-1
User Jfklein
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2.9k points