Question

A sporting goods company is planning to manufacture a commemorative lacrosse

ball to demonstrate the importance of lacrosse to Canadian culture. The ball has a
diameter of 10 cm. Determine the dimensions of the cylinder which will package
the lacrosse ball so that it has a maximum volume and minimum surface area.
Calculate the volume and surface area of this cylinder.​

Answer 1

Volume of this cylinder = 785.71 Cm³

Surface area of this cylinder​ = 157.14 Cm²

Explanation:

Given:

Height of cylinder = 10 Cm

Radius of cylinder = 10 / 2 = 5 Cm

Find:

Volume of this cylinder.

Surface area of this cylinder​

Computation:

Volume of this cylinder = πr²h

Volume of this cylinder = (22/7)(5)²(10)

Volume of this cylinder = 785.71 Cm³

Surface area of this cylinder​ = 2πr(h+r)

Surface area of this cylinder​ = 2(22/7)(5)(10+5)

Surface area of this cylinder​ = 2(22/7)(5)(15)

Surface area of this cylinder​ = 157.14 Cm²