Question

question 3 (multiple choice worth 1 points) (05.04 mc) a roll of gift - wrapping paper can cover 232.2 sq in. jimmy wants to wrap a soccer ball that he is giving as a gift. what is the maximum radius of the ball that jimmy can wrap? use 3.14 for π. o 3.8 in o 4.3 in o 9.2 in o 18.5 in

Explanation:

Step1: Recall surface - area formula for a sphere

The surface - area formula of a sphere is $A = 4\pi r^{2}$, where $A$ is the surface area and $r$ is the radius. We know that $A=232.2$ square inches and $\pi = 3.14$.

Step2: Solve for the radius $r$

First, substitute the values into the formula: $232.2=4\times3.14\times r^{2}$. Then, simplify the right - hand side: $4\times3.14 = 12.56$, so the equation becomes $232.2 = 12.56r^{2}$. Next, solve for $r^{2}$ by dividing both sides of the equation by $12.56$: $r^{2}=\frac{232.2}{12.56}\approx18.5$. Then, take the square root of both sides to find $r$: $r=\sqrt{18.5}\approx 4.3$ inches.

Answer:

C. 4.3 in