Our book lists the formula for the volume of a right circular cone as V = Tr²h, 3 where r is the radius of the base and h is the height of the cone. Justify this formula by computing the volume of the region bound by y = (r/h)x, y = 0, and x = h revolved about the r-axis.

Our book lists the formula for the volume of a right circular cone as V = Tr²h, 3 where r is the radius of the base and h is the height of the cone. Justify this formula by computing the volume of the region bound by y = (r/h)x, y = 0, and x = h revolved about the r-axis.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter10: Measurement, Area, And Volume

Section10.8: Volumes Of Pyramids And Cones

Problem 13E

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Question

Our book lists the formula for the volume of a right circular cone as
V = Tr²h,
3
where r is the radius of the base and h is the height of the cone. Justify this formula by
computing the volume of the region bound by y = (r/h)x, y = 0, and x =
h revolved about
the r-axis.

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