Practice Quiz

SAT Math

Category - Geometry and Measurement

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What is the volume of a cylinder whose perimeter of the base is , and height is equal to the diameter of the base?
  1. 144π
  2. 169π
  3. 216π
  4. 225π
  5. 432π
Explanation
Answer: E - The volume of the cylinder is 432 . Find the radius of the base from the perimeter.
P=2rπ⟺12π=2rπ⟺r=12π/2π=6
H=d=2r=2×6=12
V=r^2 πH=6^2 π×12=36π×12=432π
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