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A machine manufactures little cylinders with half-spheres of the same radius on top of them. If the height of the cylinder part is h and the radius is r the volume is V= pi *r^2 *h +(1/2) * (4/3)*pi *r^3 . The height is very 7 cm with a possible error of +/- 0.02 cm and the radius is 3 cm with a possible error of +/- 0.05 cm. Using the differentials technique we did in class, what is the approximate error of the volume? You need to use the product rule in the first term. Error in Volume is approximately = _________

A machine manufactures little cylinders with half-spheres of the same radius on top of them. If the height of the cylinder part is h and the radius is r the volume is V= pi *r^2 *h +(1/2) * (4/3)*pi *r^3 . The height is very 7 cm with a possible error of +/- 0.02 cm and the radius is 3 cm with a possible error of +/- 0.05 cm. Using the differentials technique we did in class, what is the approximate error of the volume? You need to use the product rule in the first term. Error in Volume is approximately = _________

Elementary Geometry For College Students, 7e
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 14E: A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral...
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A machine manufactures little cylinders with half-spheres of the same radius on top of them. If the height of the cylinder part is h and the radius is r the volume is V= pi *r^2 *h +(1/2) * (4/3)*pi *r^3 . The height is very 7 cm with a possible error of +/- 0.02 cm and the radius is 3 cm with a possible error of +/- 0.05 cm. Using the differentials technique we did in class, what is the approximate error of the volume? You need to use the product rule in the first term.

Error in Volume is approximately = _________

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