The surface area of an exercise ball is 1256. Using 3.14 as the value of pi, what is the diameter of the exercise ball?
(You know the surface area, pi, and 4. Undo the formula to find the radius and then diameter)
(1 point)
Responses
12
12
15
15
10
10
20
To find the diameter of the exercise ball, we need to first find the radius using the formula for surface area:
Surface Area = 4πr^2
1256 = 4 * 3.14 * r^2
Simplifying the equation:
314 = 3.14 * r^2
Dividing both sides of the equation by 3.14:
r^2 = 100
Taking the square root of both sides of the equation to find the radius:
r = 10
Finally, to find the diameter, we double the radius:
d = 2 * r = 2 * 10 = 20
Therefore, the diameter of the exercise ball is 20.