The diameter and height of this cylinder are equal to the side length, S, of the cube in which the cylinder is inscribed. What i
s the expression for the cylinder's volume?
2 answers:
Answer:
Expression for given volume = 
Step-by-step explanation:
Length of cube is given to be S
therefore Height of the Cylinder = S
Diameter of the Cylinder = S
Radius of Cylinder = 
Formula for the volume of Cylinder =
where r = radius of cylinder
h = height of cylinder
Volume = 
=
Volume of cylinder = pi r^2 h
diameter = S so the radius = 0.5S and the height of cylinder = S
so Volume of this cylinder = pi (0.5S)^2 * S
= 0.25 pi S^3
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