Question

Can you please help

Answer 1

The area of a sphere as given in the question is calculated as shown below;

`\begin{gathered} \text{Area}=4\pi* r^2 \\ r=16,\pi=3.14_{} \\ \text{Area}=4*3.14*16^2 \\ \text{Area}=4*3.14*256 \\ \text{Area}=3215.36ft^2 \end{gathered}`

The volume of the sphere is derived as shown below;

`\begin{gathered} \text{Vol}=(4)/(3)\pi* r^3 \\ \text{Vol}=(4)/(3)*3.14*16^3 \\ \text{Vol}=(4*3.14*4096)/(3) \\ \text{Vol}=17148.5866\ldots \\ \text{Vol}\approx17148.59ft^3 \end{gathered}`

The area of the sphere is 3,215.36 square feet

The volume of the sphere is 17,148.59 cubic feet

Please note that the answer has been rounded off to the nearest hundredth (2 decimal places) for the volume.