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So, the volume of the solid of revolution is Volume = V = TI (9 - x2)2 dx. To find the volume, integrate from x = to x = 3. V = T (x4 – 18x² + 81) dx 18x + 81 18. 0 + (81 · 3-0) 243 + 243 3. 15

So, the volume of the solid of revolution is Volume = V = TI (9 - x2)2 dx. To find the volume, integrate from x = to x = 3. V = T (x4 – 18x² + 81) dx 18x + 81 18. 0 + (81 · 3-0) 243 + 243 3. 15

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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can you please help me to solve this step by step? Thank you if you input the explanation.
Step 2 So, the volume of the solid of revolution is Volume = V= TT (9 - x2)? dx. To find the volume, integrate from x = to x = 3. V = T (x4 - 18x2 + 81) dx 18x + 81 3 18 3 0 + (81 · 3-0) = IT 243 + 243 3. TC 15
Transcribed Image Text:Step 2 So, the volume of the solid of revolution is Volume = V= TT (9 - x2)? dx. To find the volume, integrate from x = to x = 3. V = T (x4 - 18x2 + 81) dx 18x + 81 3 18 3 0 + (81 · 3-0) = IT 243 + 243 3. TC 15
Set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the x-axis. y 9-x2 10 8 6 y. 2- Step 1 From the figure consider the representative rectangle. The radius solid of revolution obtained by revolving the rectangle about the x-axis is R(x) = y = 9-x To find the volume of a solid of revolution with the disk disk method, use the horizontal axis of revolution. Volume = V = TR)? dx.
Transcribed Image Text:Set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the x-axis. y 9-x2 10 8 6 y. 2- Step 1 From the figure consider the representative rectangle. The radius solid of revolution obtained by revolving the rectangle about the x-axis is R(x) = y = 9-x To find the volume of a solid of revolution with the disk disk method, use the horizontal axis of revolution. Volume = V = TR)? dx.
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