help an ogre out- A toy designer is creating a basketball plushy. The designer has fabric that measures 171.9 sq. in. What is th

Question

2 years ago

5

e 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

2 answers:

trapecia [35] · Answer 1 · 2022-01-23T06:48:19+03:00

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.

Oduvanchick [21] · Answer 2 · 2022-01-23T08:30:20+03:00

3 0

Answer:

13.7

Step-by-step explanation: