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Volumes

Volumes

Volumes. Lesson 6.2. Cross Sections. Consider a square at x = c with side equal to side s = f(c) Now let this be a thin slab with thickness ? x What is the volume of the slab? Now sum the volumes of all such slabs. f(x). c. a. b. Cross Sections. This suggests a limit and an integral.

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Greg Kelly, Hanford High School, Richland, Washington Adapted by: Jon Bannon, Siena College

Greg Kelly, Hanford High School, Richland, Washington Adapted by: Jon Bannon, Siena College

Photo by Vickie Kelly, 2006. Greg Kelly, Hanford High School, Richland, Washington Adapted by: Jon Bannon, Siena College. 8.2-8.3 Day 3. The Shell Method and Arc length. Japanese Spider Crab Georgia Aquarium, Atlanta.

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413 views • 16 slides
outer radius

outer radius

cylinder. inner radius. outer radius. thickness of slice. Here is another way we could approach this problem:. If we take a vertical slice. and revolve it about the y-axis. we get a cylindrical shell.

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Calculus II Chapter 6 Section 4 Volume using Shells

Calculus II Chapter 6 Section 4 Volume using Shells

Calculus II Chapter 6 Section 4 Volume using Shells. David Dippel LoneStar College - Montgomery. Revolve the region bounded by y = x 2 +1 y = 0 and x = 0 around the y-axis. cross section. If we take a vertical slice. and revolve it about the y-axis. we get a cylinder.

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6.3 Shell Method

6.3 Shell Method

6.3 Shell Method. HW pg 432 2-10, 14 (even). Find the volume of the region bounded by , , and revolved about the y -axis. We can use the washer method if we split it into two parts:. cylinder. inner radius. outer radius. thickness of slice.

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203 views • 9 slides

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