A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 508.68 yd. What is the surface area of the sphere? Use 3.14 for pi.
The surface area of the sphere is about ___ yd squared.

The surface area of the sphere is 1017.36yd²

Step-by-step explanation:

To solve this question, we have to determine the radius of the sphere from the circumference of the circle

Circumference of the circle = 508.68 yd

C = 2πr

π = 3.14

508.68 = 2 * 3.14 * r

r = 508.68 / 6.28

r = 81 yd

Surface area of a sphere (A) = 4πr²

A = 4 * 3.14 * 81

A = 1017.36yd²

The surface area of the sphere is 1017.36yd²

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is