Sphere
The surface area of the sphere is 84453.44 sq yd
Step-by-step explanation:
Given the ride goes around the widest circle of the sphere whose circumference is 514.96 yd.
The widest circle of the sphere is the plane contains the sphere's center
The circumference of the widest circle is [tex]2\pi r[/tex] where r is radius of the sphere.
The surface area of the sphere is defined as [tex]4\pi r^{2}[/tex] where r is radius of the sphere.
So 514.96 = [tex]2\pi r[/tex]
⇒514.96= 2 × 3.14 × r
⇒ r = 514.96 ÷ (2 × 3.14)
⇒ r = 514.96 ÷ 6.28
Surface Area A = [tex]4\pi r^{2}[/tex]
⇒ A = 4 × 3.14 × (514.96 ÷ 6.28) × (514.96÷ 6.28)
⇒ A = 84453.44 sq yd
The surface area of the sphere is 84453.44 sq yd
