Atoy 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

The answer is

Step-by-step explanation:

Given a sphere of radius R, the surface of a sphere is :

The designer has fabric that measures

That will the maximum sphere surface.

Now, we need to replace in the equation to find the maximum value of R ⇒

Using the data that ⇒

⇒

We know that ⇒

≅

The maximum radius of the basketball that the designer can create is

no, the equation would be invalid since they are both not equal.

step-by-step explanation:

here you got

4y-6+4y 2-9

first, you would simplify the equation on the form.

4y-6+4y 2-9

then, move all the terms that contains a y to the left and all the other terms to the right.

+4y-4y+-9-6

finally, you will simplify the left and the right side of the equation.

y=-3

a negative exponent is translated as follows:

so, we have