hmwk7 - Math 215 Homework Set 7: 16.7 17.2 Winter 2008 Most...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 215 Homework Set 7: §§ 16.7 – 17.2 Winter 2008 Most of the following problems are modified versions of the recommended homework problems from your text book Multivariable Calculus by James Stewart. 16.8a. Find the volume of one of the smaller wedges cut from a sphere of radius 27 by two planes that intersect along a diameter at an angle of π/ 6 . 16.8b. Find the volume and center of mass of the solid that lies above the cone z = 3 ± x 2 + y 2 and below the sphere x 2 + y 2 + z 2 = 9 . Assume that the density of the solid is constant. 16.8c. Find the volume of the solid that lies above the cone ϕ = π/ 3 and below the sphere ρ = 9 cos( ϕ ) . 16.8d. Evaluate ² ² ² B (3 x 2 + 3 y 2 + 3 z 2 ) dV where B is the ball of radius 13 centered at the origin. 16.8e. Find the center of mass of a solid hemisphere of radius 5 if the density at any point in the hemisphere is proportional to the point’s distance from the base of the hemisphere. 16.8f. Do Problems 27–28 of
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

hmwk7 - Math 215 Homework Set 7: 16.7 17.2 Winter 2008 Most...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online