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Area and Volume

SAT Math· difficulty 5/5

A cone of radius 33 and height 44 sits on top of a cylinder of radius 33 and height 77. What is the total volume?

  • A

    63π+36π63\pi+36\pi

  • B

    63π+12π63\pi+12\pi

    check_circle
  • C

    21π+12π21\pi+12\pi

  • D

    84π84\pi

Explanation

Cylinder =π(9)(7)=63π=\pi(9)(7)=63\pi; cone =13π(9)(4)=12π=\frac{1}{3}\pi(9)(4)=12\pi. Total =75π=75\pi.

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