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Chapter 6: Q. 44 (page 511)

Consider the region between the graph of and the line y=5on 0,2. For each line of rotation given in Exercises 41鈥�44, use definite integrals to find the volume of the resulting solid.

Short Answer

Expert verified

The volume of the solid is20615蟺

Step by step solution

01

Step 1. Given Information

The given figure is

fx=4-x2=yx=4-y=gy

02

Step 2. Finding Volume

V=蟺鈭�abRx2dx=鈭�025-4-x22dxV=鈭�02x4+2x2+1dx

V=蟺x55+2x33+x20V=蟺(325+163+2-0)V=96+80+3015=20615蟺

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