A cylinder needs to contain 12 golf balls, each golf ball with a diameter of 3.8, what will the dimensions of the cylinder be?

Question

Tight fit

Lateral area needed

Bases area needed

Answer 1

Assuming that the cylinder contains 12 golf balls lined up in one column with a tight fit, please see below my calculations and work for this problem.

The height was calculated by adding the diameters of the 12 golf balls

The radius is basically the radius of one of the golf balls.

I hope this helps.

h = height(3.8 * 12 = 45.6)

r = radius(3.8 / 2 = 1.9)

Lateral Area = 2πrh = 2π(1.9)(45.6) = 173.28π = 544.0992

Base area = πr^2 = π(1.9)^2= 3.61π = 11.3354

Please feel free to ask my any questions to help clarify.

Thanks,

Richmond