Question

A toy designer is creating a basketball plushy. The designer has fabric that measures 171.9 sq. in. What is the maximum radius of the basketball that the designer can create? Use 3.14 for π. 13.7 in 6.9 in 3.7 in 3.4 in

Answer 1

Answer:

C. 3.7 in

Step-by-step explanation:

We know the surface area of the basketball, which is calculated as follows:

Surface area of a sphere = 4πr²

Replacing with a surface area of 171.9 square inches and solving for radius, we get:

171.9 = 4πr²

$r^2 = \frac{171.9}{4 \cdot 3.14}$

$r = \sqrt{13.69}$

r = 3.7 in

Answer 2

Answer:

C. 3.7

Step-by-step explanation:

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