Jude says that the volume of a square pyramid with base edges of 12 in and a height of 10 in is equal to the volume of a cylinder with a radius of 6.77 in and a height of 10 in. Jude rounded his answers to the nearest whole numbers. Examine Jude's calculations. Is he correct?
Volume of Square Pyramid Volume of Cylinder
V = one third B (h) V = one thirdπr2h
V = one third (144) (10) V = one thirdπ (6.772) (10)
V = one third (1440) one thirdπ (45.8329) (10)
V = 480 in3 V = one thirdπ (458.329)
V ≈ 480 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 cylinder.
Yes, but he made a mistake in solving for the volume of the square pyramid.
No, he made a mistake in solving for the volume of both figures.
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