Question

A volume is described as follows: 1. the base is the region bounded by $x = -y^2 + 6y + 45$ and $x = y^2 - 18y + 99$; 2. every cross section perpendicular to the y-axis is a semi-circle. Find the volume of this object. volume =

Name: a volume is described as follows 1 the base is the region bounded by x y2 6y 45 and x y2 18y 99 2 every cross section perpendicular to the y axis is a semi circle find the volume of this obj 62762
Uploaded: 2023-02-08T18:24:09-08:00
Duration: 1 min 1 s
Channel: Sri K
Description: a volume is described as follows 1 the base is the region bounded by x y2 6y 45 and x y2 18y 99 2 every cross section perpendicular to the y axis is a semi circle find the volume of this obj 62762

          A volume is described as follows:
1. the base is the region bounded by $x = -y^2 + 6y + 45$ and $x = y^2 - 18y + 99$;
2. every cross section perpendicular to the y-axis is a semi-circle.
Find the volume of this object.
volume =

a volume is described as follows 1 the base is the region bounded by x y2 6y 45 and x y2 18y 99 2 every cross section perpendicular to the y axis is a semi circle find the volume of this obj 62762

Added by Jose R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

02/08/2023

Step 1

Set the two equations for $x$ equal to each other: $-y^2 + 6y + 45 = y^2 - 18y + 99$ Show more…

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A volume is described as follows: 1. the base is the region bounded by $x = -y^2 + 6y + 45$ and $x = y^2 - 18y + 99$; 2. every cross section perpendicular to the y-axis is a semi-circle. Find the volume of this object. volume =