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 496.12 yd. What is the surface area of the​ sphere? Use 3.14 for pi.

Respuesta :

Answer:

78386.96 Square Yards

Step-by-step explanation:

Circumference of the Widest Circle of the Sphere=496.12 yd

Therefore:

[tex]2\pi r =496.12 \:yards\\2*3.14*r=496.12\\r=496.12\div(2*3.14)\\r=79 yd[/tex]

Surface Area of the Sphere =[tex]4\pi r^2[/tex]

[tex]=4*3.14*79^2\\=78386.96$ Square Yards[/tex]