Question

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
Group of answer choices

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.

Answer 1

B. No, he made a mistake in solving for the volume of the cylinder.

Jude's calculation for the volume of the cylinder is incorrect as he used "one thirdn" instead of "one thirdπ". Using the correct formula would give a volume of approximately 458.33 in3, which is not equal to the volume of the square pyramid. Therefore, his calculations are not correct.