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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 552.64 yd. What is the surface area of the​ sphere? Use 3.14 for pi.
The surface area of the sphere is about ____ yd2

Respuesta :

calculista

Answer:

The surface area of the sphere is about [tex]97,264.64\ yd^{2}[/tex]

Step-by-step explanation:

step 1

Find the radius of the circumference

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

we have

[tex]C=552.64\ yd[/tex]

substitute and solve for r

[tex]552.64=2(3.14)r[/tex]

[tex]r=552.64/[2(3.14)]=88\ yd[/tex]

step 2

Find the surface area of the sphere

The surface area of the sphere is equal to

[tex]SA=4\pi r^{2}[/tex]

we have

[tex]r=88\ yd[/tex]

substitute

[tex]SA=4(3.14)(88)^{2}=97,264.64\ yd^{2}[/tex]

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