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Mathematics, 31.03.2021 18:50, romanlittlewood
Jude says that the volume of a square pyramid with base edges of 9.7 in and a height of 9 in is equal to the volume of a cylinder with a radius of 5.47 in and a height of 3 in. Jude rounded his answers to the nearest whole number. Examine Jude's calculations. Is he correct?
Volume of Square Pyramid Volume of Cylinder
V = one third B(h) V = πr2h
V = one third(94.09)(9) V = π(5.472)(3)
V = one third(846.81) V = π(29.9209)(3)
V = 282 in3 V = π(89.7627)
V ≈ 282 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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