Question

the worlds largest ball of twine was made by a farmer who lived in darwin, minnesota. other places claim their balls of twine are bigger, but theyre not. the diameter of francis johnsons ball of twine is 12.75 ft. find the surface area of francis johnsons ball of twine. use 3.14 for π and round your answer to the nearest hundredth. sa = ft² \there was a certain purity to what francis johnson did,\ said the mayor. \he wasnt trying to make his ball the largest. people who knew him said he just did it because it was there.\

Explanation:

Step1: Find the radius

The radius $r$ of a sphere is half of the diameter $d$. Given $d = 12.75$ ft, so $r=\frac{d}{2}=\frac{12.75}{2}=6.375$ ft.

Step2: Use the surface - area formula

The surface - area formula of a sphere is $SA = 4\pi r^{2}$. Substitute $r = 6.375$ ft and $\pi=3.14$ into the formula:
\[

$$\begin{align*} SA&=4\times3.14\times(6.375)^{2}\\ &=12.56\times40.640625\\ & = 509.655 \end{align*}$$

\]

Step3: Round the answer

Rounding $509.655$ to the nearest hundredth gives $509.66$ ft².

Answer:

$509.66$