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The shaded region, R, is bounded by the graph of y = x² and y = 4, as shown. a. Find the area of R. y =x? - y = 4 b. Find the volume of the solid generated by revolving R about

The shaded region, R, is bounded by the graph of y = x² and y = 4, as shown. a. Find the area of R. y =x? - y = 4 b. Find the volume of the solid generated by revolving R about

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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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Multiple part question. How do I find the area, volume, and an equaition relating to this solid. More info in image attatched below. 

The shaded region, R, is bounded by the graph of y = x2 and y = 4, as shown. y = x? a. Find the area of R. b. Find the volume of the solid generated by revolving R about the x - axis. c. There exists a number k, k>4, such that when R is revolved about the line y = k, the resulting solid has the same volume as the solid in part b. Write, but do not solve, an equation involving an integral expression that can be used to find the value of k.
Transcribed Image Text:The shaded region, R, is bounded by the graph of y = x2 and y = 4, as shown. y = x? a. Find the area of R. b. Find the volume of the solid generated by revolving R about the x - axis. c. There exists a number k, k>4, such that when R is revolved about the line y = k, the resulting solid has the same volume as the solid in part b. Write, but do not solve, an equation involving an integral expression that can be used to find the value of k.
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