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12 February, 10:25

Jude says that the volume of a square pyramid with base edges of 7 in and a height of 7 in is equal to the volume of a cylinder with a radius of 7 in and a height of 7 in. Jude rounded all answers to the nearest whole number. Examine Jude's calculations. Is he correct?

Volume of Square Pyramid Volume of Cylinder

V = B (h) V = r2h

V = 49 (7) V = (72) (7)

V = 343 in3 V = 343 in3

Yes, his calculations are correct and the volumes for figures are equal.

No, he made a mistake in solving for the volume of the square pyramid.

Yes, but he made a mistake in solving for the volume of the cylinder.

No, he made a mistake in solving for the volume of both figures.

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Answers (1)
  1. 12 February, 11:09
    0
    No, he made a mistake in solving for the volume of both figures.

    Step-by-step explanation:

    Radius = 7 inches

    Height = 7 inches

    Volume of cylinder = π (7x7) 7

    = (3.14) (49) (7)

    = 1077.2 cubic inches

    Base edge = 7 Inches

    Height = 7 inches

    Volume of square pyramid = (1/3) (7x 7) (7)

    = 114.33 cubic inches

    No, he made a mistake in solving for the volume of both figures.
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