Question

help an ogre out- 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: 3.7 in.

Step-by-step explanation:

Given,   A toy designer is creating a basketball plushy. The designer has fabric that measures 171.9 sq. in.

To find: The maximum radius of the basketball that the designer can create.

For this, Surface area of basketball = area of fabric

Formula: Surface area of sphere = $4\pi r^2$, where r is the radius.

Then, $4\pi r^2=171.9$

$r^2=\dfrac{171.9}{4\pi}=\dfrac{171.9}{4\times3.14}\\\\\Rightarrow\ r=13.6863057325\\\\\Rightarrow\ r=\sqrt{13.6863057325}=3.69950074098\approx3.7$

Hence, the maximum radius of the basketball that the designer can create is 3.7 in.  

Answer 2

Answer:

13.7

Step-by-step explanation: