Question

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

Answer 1

Answer:

The surface area of the sphere is about $97,264.64\ yd^{2}$

Step-by-step explanation:

step 1

Find the radius of the circumference

The circumference of a circle is equal to

$C=2\pi r$

we have

$C=552.64\ yd$

substitute and solve for r

$552.64=2(3.14)r$

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

step 2

Find the surface area of the sphere

The surface area of the sphere is equal to

$SA=4\pi r^{2}$

we have

$r=88\ yd$

substitute

$SA=4(3.14)(88)^{2}=97,264.64\ yd^{2}$