Loading [MathJax]/jax/output/SVG/jax.js
 
+0  
 
0
27
1
avatar+1926 

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?

 Mar 3, 2024

Best Answer 

 #1
avatar+15058 
+1

What is the difference between the surface area of the sphere and the lateral surface area of the cylinder?

Hello tomtom!

 

Vc=πr22r=2πr3=144r=(72π)13

 

LSc=2πr2+2πr2r=2πr2(1+2)=6πr2SAs=4πr2LScSAs=2πr2=2π(72π)23LScSAs=50.6954

 

The surface area of the sphere and the lateral surface area of the cylinder is 50.6954.

 

laugh !

 Mar 3, 2024
edited by asinus  Mar 3, 2024
edited by asinus  Mar 3, 2024
 #1
avatar+15058 
+1
Best Answer

What is the difference between the surface area of the sphere and the lateral surface area of the cylinder?

Hello tomtom!

 

Vc=πr22r=2πr3=144r=(72π)13

 

LSc=2πr2+2πr2r=2πr2(1+2)=6πr2SAs=4πr2LScSAs=2πr2=2π(72π)23LScSAs=50.6954

 

The surface area of the sphere and the lateral surface area of the cylinder is 50.6954.

 

laugh !

asinus Mar 3, 2024
edited by asinus  Mar 3, 2024
edited by asinus  Mar 3, 2024

1 Online Users

avatar