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 PyramidVolume 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 in3V = 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.