Let f(x) = x^1/3 on the interval [0, 8] be revolved about the y-axis. Find the area of the surface. Give an approximation to two decimal places. Show all work
Let f(x) = x^1/3 on the interval [0, 8] be revolved about the y-axis. Find the area of the surface. Give an approximation to two decimal places. Show all work
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 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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Let f(x) = x^1/3 on the interval [0, 8] be revolved about the y-axis. Find the area of the surface. Give an approximation to two decimal places. Show all work
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Step 1: Consider the provided function and interval which is revolved around y-axis.
VIEWStep 2: Now, simplify the above function.
VIEWStep 3: The formula of surface area is shown below,
VIEWStep 4: Differentiate the provided function with respect to y.
VIEWStep 5: Substitute above derivative and function in provided formula,
VIEWStep 6: Further simplify,
VIEWStep 7: Now, substitute the above in integration.
VIEWStep 8: Answer,
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