Consider the volume of the region shown below, which shows a right circular cone with top radius 3 cm and height 7 cm. We have used the notation Dy for Ay. Dy Write a Riemann sum for the volume, using the strip shown and the variable y: Riemann sum = E Now write the integral that gives this volume: volume = " where a = and b = Finally, calculate the exact volume of the region, using your integral.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 43E: A frustum of a cone is the portion of the cone bounded between the circular base and a plane...
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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 7 cm. We have used the
notation Dy for Ay.
Dy
y
Write a Riemann sum for the volume, using the
strip shown and the variable y:
Riemann sum = E
Now write the integral that gives this volume:
volume =
where a =
and b =
Finally, calculate the exact volume of the region,
using your integral.
volume =
(include units)
Transcribed Image Text:·Consider the volume of the region shown below, which shows a right circular cone with top radius 3 cm and height 7 cm. We have used the notation Dy for Ay. Dy y Write a Riemann sum for the volume, using the strip shown and the variable y: Riemann sum = E Now write the integral that gives this volume: volume = where a = and b = Finally, calculate the exact volume of the region, using your integral. volume = (include units)
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