# Section Volumes by Slicing

## Presentation on theme: "Section Volumes by Slicing"— Presentation transcript:

Section 5.3 - Volumes by Slicing
7.3 Solids of Revolution

Find the volume of the solid generated by revolving the regions

Find the volume of the solid generated by revolving the regions

Find the volume of the solid generated by revolving the regions

Find the volume of the solid generated by revolving the regions

Find the volume of the solid generated by revolving the regions
bounded by about the line y = -1.

Let R be the first quadrant region enclosed by the graph of
a) Find the area of R in terms of k. Find the volume of the solid generated when R is rotated about the x-axis in terms of k. c) What is the volume in part (b) as k approaches infinity? HINT:

Let R be the first quadrant region enclosed by the graph of
a) Find the area of R in terms of k.

Let R be the first quadrant region enclosed by the graph of
Find the volume of the solid generated when R is rotated about the x-axis in terms of k.

Let R be the first quadrant region enclosed by the graph of
c) What is the volume in part (b) as k approaches infinity?

Let R be the region in the first quadrant under the graph of
a) Find the area of R. The line x = k divides the region R into two regions. If the part of region R to the left of the line is 5/12 of the area of the whole region R, what is the value of k? Find the volume of the solid whose base is the region R and whose cross sections cut by planes perpendicular to the x-axis are squares.

Let R be the region in the first quadrant under the graph of
a) Find the area of R.

Let R be the region in the first quadrant under the graph of
The line x = k divides the region R into two regions. If the part of region R to the left of the line is 5/12 of the area of the whole region R, what is the value of k? A

Let R be the region in the first quadrant under the graph of
Find the volume of the solid whose base is the region R and whose cross sections cut by planes perpendicular to the x-axis are squares. Cross Sections

The base of a solid is the circle . Each section of the
solid cut by a plane perpendicular to the x-axis is a square with one edge in the base of the solid. Find the volume of the solid in terms of a.