A hole of radius 3 is bored through the center of a sphere of radius 5. Let the cross-section of the sphere through the center be the circle x^2+ y^2 = 25 cross-sections of the hole be defined by lines x =− 3 and x =3. Set up the definite integral that will solve for the volume of the remaining portion of the sphere using: Vertical strips? Horizontal strips?

Q: (b) Compute the flux of the vector field F(x, y, z) = y i– 2.xyk over the triangle T with vertices…

A: Given vector field is: F→=yi^-2xyk^ Given vertices of the triangle are: 1,0,0, 0,1,0 and 0,0,2 Then…

Q: A solid lies between two parallel planes 5 feet apart and has a volume of 45 cubic feet. What is the…

A:

Q: The radius of the top of a hemispherical soup bowl is 5cm. Use the integration to determine the…

A: Given radius a=5 cm Height h=4 cm Use integration to determine the volume.

Q: 7. Determine the minimum surface area required to enclose 280cm in a cylinder:

A: It is given that, Volume of cylinder, V=280 cm3   It is known that, volume of cylinder is, V=πr2h…