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Area and Volume

SAT Math· difficulty 5/5

A solid consists of a cylinder of radius 33 and height 1010 topped by a hemisphere of the same radius. What is its total volume?

  • A

    90π+36π90\pi+36\pi

  • B

    90π+27π90\pi+27\pi

  • C

    90π+18π90\pi+18\pi

    check_circle
  • D

    108π108\pi

Explanation

Cylinder =π(9)(10)=90π=\pi(9)(10)=90\pi. Hemisphere =12⋅43π(27)=18π=\frac{1}{2}\cdot\frac{4}{3}\pi(27)=18\pi. Total =90π+18π=108π=90\pi+18\pi=108\pi.

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