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Area and Volume

SAT Math· difficulty 5/5

A cylindrical hole of radius 11 and height 44 is drilled through a rectangular block of dimensions 4×4×44\times 4\times 4. What is the remaining volume?

  • A

    64−16π64-16\pi

  • B

    60−π60-\pi

  • C

    64−4π64-4\pi

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  • D

    64−π64-\pi

Explanation

Block =64=64. Hole =π(1)2(4)=4π=\pi(1)^2(4)=4\pi. Remaining =64−4π=64-4\pi.

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