A zorb is a large inflated ball within a ball. The formula for the radius of a sphere with surface area A is given by r = \sqrt{} (a)/(4\pi)Calculate the radius of a standard zo…

Question

A zorb is a large inflated ball within a ball. The formula for the radius of a sphere with surface area A is given by
`r = \sqrt{} (a)/(4\pi)`Calculate the radius of a standard zorb whose outside surface area is 21.24 sq m.

Answer 1

1.3 meters

Step-by-step explanation

Step 1

`\begin{gathered} \text{ } \\ \text{Area}=4\cdot\pi\cdot radius^2 \\ \text{isolate radius} \\ \frac{Area}{4\text{ }\pi}=radius^2 \\ \text{radius}=\sqrt[]{(Area)/(4\pi)} \end{gathered}`

Let

Area = 21.24 square meters

then, replace

`\begin{gathered} \text{radius}=\sqrt[]{(Area)/(4\pi)} \\ \text{radius}=\sqrt[]{(21.24)/(4\pi)} \\ \text{radius}=\sqrt[]{1.69} \\ \text{radius}=1.3\text{ meters} \end{gathered}`

I hope this helps you