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 $r = \sqrt{} \frac{a}{4\pi}$Calculate the radius of a standard zorb whose outside surface area is 21.24 sq m.

Answer 1

1.3 meters

Explanation

Step 1

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

Let

Area = 21.24 square meters

then, replace

$\begin{gathered} \text{radius}=\sqrt[]{\frac{Area}{4\pi}} \\ \text{radius}=\sqrt[]{\frac{21.24}{4\pi}} \\ \text{radius}=\sqrt[]{1.69} \\ \text{radius}=1.3\text{ meters} \end{gathered}$

I hope this helps you