Given:
Base area = 196π cm²
Height of cylinder = diameter of base
To find:
Volume of cylinder
Steps:
First lets find the radius of cylinder,
Base area = πr²
196π = πr²
196 = r² (pi gets canceled)
14 = r
Radius of cylinder is 14 cm
So, diameter of cylinder is 28 cm (d= 2r = 2 * 14 = 28)
Therefore height of cylinder is 28 cm
Now lets find the volume of cylinder,
Volume of cylinder = Base area × height
= 196π × 28
= 5488π
= 5488 × π
= 17,241.1 cm cube
Therefore the volume of the cylinder is 17,241.1 cm³
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