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LiRa [457]
3 years ago
8

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?
Mathematics
2 answers:
alexdok [17]3 years ago
8 0

Answer:

Expression for given volume = \pi \frac{S^3}{8}

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 = \frac{S}{2}

   Formula for the volume of Cylinder =\pi r^2 h

                                           where r = radius of cylinder

                                                      h = height of cylinder

         Volume = \pi({\frac{S}{2})^{2} S

                         =\pi \frac{S^3}{8}

hodyreva [135]3 years ago
3 0
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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