A spherical ball fits snugly inside a cylindrical jar, so that the ball touches the top and bottom of the jar, and the sides of the jar. The volume of the cylinder is $144 \pi.$ What is the difference between the surface area of the sphere and the lateral surface area of the cylinder?
What is the difference between the surface area of the sphere and the lateral surface area of the cylinder?
Hello tomtom!
Vc=πr2⋅2r=2πr3=144r=(72π)13
LSc=2πr2+2πr⋅2r=2πr2(1+2)=6πr2SAs=4πr2LSc−SAs=2πr2=2π⋅(72π)23LSc−SAs=50.6954
The surface area of the sphere and the lateral surface area of the cylinder is 50.6954.
!
What is the difference between the surface area of the sphere and the lateral surface area of the cylinder?
Hello tomtom!
Vc=πr2⋅2r=2πr3=144r=(72π)13
LSc=2πr2+2πr⋅2r=2πr2(1+2)=6πr2SAs=4πr2LSc−SAs=2πr2=2π⋅(72π)23LSc−SAs=50.6954
The surface area of the sphere and the lateral surface area of the cylinder is 50.6954.
!