Respuesta :

The answer is 71.6 ft^2.
It is given that 2πR=30 therefore R=4.77(aprox.)
Now you take the area formula:πR^2 which is equal to 71.6

Answer:

Surface area of a sphere= 286. 5 ft^2

Step-by-step explanation:

Find the surface area of a sphere with a circumference of 30 ft

Surface area of a sphere formula is [tex]4\pi r^2[/tex]

Circumference of circle =[tex]2\pi r[/tex]

[tex]30=2\pi r[/tex]

divide both sides by 2*pi

so r= 30/2pi

Surface area of a sphere formula is  [tex]4*\pi *(\frac{30}{2\pi})^2[/tex]

=286.4789

Now round to nearest tenth

Surface area of a sphere= 286. 5 ft^2