Question

A zorb is a large inflated ball within a ball. The formula for the radius r of a sphere with surface area A is given by requalsStartRoot StartFraction Upper A Over 4 pi EndFraction EndRoot . Calculate the radius of a zorb whose outside surface area is

Answer 1

radius r of the zorb is ≅ 1.40 m

Explanation:

GIven that;

the radius r of a sphere with surface area A is given by;

`r = \sqrt{\frac {A}{4 \pi }}` which is read as : (r equals StartRoot StartFraction Upper A Over 4 pi EndFraction EndRoot .)

We are to calculate the radius of a zorb whose outside surface area is 24.63 sq ( the missing part of the question)

Given that the outside surface area is : 24.63 sq

Let replace the value of the outside surface area which 24.63 sq for A in the equation given from above.

SO: A = 24.63 sq

`r = \sqrt{\frac {A}{4 \pi }}`

`r = \sqrt{\frac {24.63}{4 \pi }}`

`r = √(1.9599)`

r = 1.399

radius r of the zorb is ≅ 1.40 m