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Consider the volume of the region shown below, which shows a right circular cone with top radius 3 cm and height 9 cm. We have used the notation Dy for Ay Dy

Consider the volume of the region shown below, which shows a right circular cone with top radius 3 cm and height 9 cm. We have used the notation Dy for Ay Dy

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Write a Riemann sum for the volume, using the strip shown and the variable y: Riemann sum = Σ Consider the volume of the region shown below, which shows a right circular cone with top radius 3 cm and height 9 cm. We have used the notation Dy for Ay. Now write the integral that gives this volume: volume = f where a = and b = . E.g. "pi (5x +3) Dx" or " pi (y^2) Dy" . E.g. "(5 pi x +3) dx" or "(pi y^2) dy" Finally, calculate the exact volume of the region, using your integral. volume = (include units) Dy
Transcribed Image Text:Write a Riemann sum for the volume, using the strip shown and the variable y: Riemann sum = Σ Consider the volume of the region shown below, which shows a right circular cone with top radius 3 cm and height 9 cm. We have used the notation Dy for Ay. Now write the integral that gives this volume: volume = f where a = and b = . E.g. "pi (5x +3) Dx" or " pi (y^2) Dy" . E.g. "(5 pi x +3) dx" or "(pi y^2) dy" Finally, calculate the exact volume of the region, using your integral. volume = (include units) Dy
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