Question

use cylindrical coordinates: A cylindrical hole of radius a is bored through the center of a...

use cylindrical coordinates: A cylindrical hole of radius a is bored through the center of a solid sphere of radius 2a. Find the volume of the hole.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use cylindrical coordinates. Find the volume of the solid that is enclosed by the cone z...
Use cylindrical coordinates. Find the volume of the solid that is enclosed by the cone z = x2 + y2 and the sphere x2 + y2 + z2 = 128.
1) Use triple integration to find the volume of a sphere with radius 5 in cylindrical,...
1) Use triple integration to find the volume of a sphere with radius 5 in cylindrical, spherical, and cartesian coordinates. Evaluate them all.
Use cylindrical coordinates to find the volume of the solid bounded by the graphs of  z  ...
Use cylindrical coordinates to find the volume of the solid bounded by the graphs of  z  =  68 − x^2 − y^2  and  z  =  4.
Use cylindrical coordinates to find the volume of the solid bounded above by: 3x2 + 3y2+...
Use cylindrical coordinates to find the volume of the solid bounded above by: 3x2 + 3y2+ z2 =45 and below by the xy plane.
Use a triple integral in cylindrical coordinates to find the volume of the sphere x^2+ y^2+z^2=a^2
Use a triple integral in cylindrical coordinates to find the volume of the sphere x^2+ y^2+z^2=a^2
Imagine that one drilled a very small hole with smooth sides straight through the center of...
Imagine that one drilled a very small hole with smooth sides straight through the center of a charged sphere with total charge Q, radius R and uniform charge density p. A charge −? with mass ? is dropped into one end. Ignore effects from friction and gravity. a. (10 points) The Coulomb force on an object of charge −? located inside the sphere a distance ? < ? from the center is due only to the charge that lies within...
Let D be the smaller cap cut from a solid ball of radius 2 units by...
Let D be the smaller cap cut from a solid ball of radius 2 units by a plane 1 unit from the center of the sphere. Express the volume of D as an interated triple integral in (a) spherical and (b) cylindrical coordinates. I was able to calculate the rectangular coordinates, however I do not understand how I should converse those to spherical and cylindrical coordinates.
Use cylindrical coordinates to determine the volume of the solid bound by  z  =  32 −...
Use cylindrical coordinates to determine the volume of the solid bound by  z  =  32 − x2 − y2  and  z  =  7. Please explain steps. Thank you :)
Use spherical coordinates. (a) Find the centroid of a solid homogeneous hemisphere of radius 1. (Assume...
Use spherical coordinates. (a) Find the centroid of a solid homogeneous hemisphere of radius 1. (Assume the upper hemisphere of a sphere centered at the origin. Use the density function ρ(x, y, z) = K. (x, y, z) = (b) Find the moment of inertia of the solid in part (a) about a diameter of its base. Id =
Conical drill is used to drill a hole through the middle of a sphere, that has...
Conical drill is used to drill a hole through the middle of a sphere, that has a 10 cm radius. After the drilling there has appeared a conical tunnel through the sphere, where one difference has 6 cm diameter and the other difference has 8 cm diameter. Find the volume of this punched sphere.