Verified Answer :

meerkat18

The circumference of the sphere is calculated through the equation, C = 2πr. Rearranging the equation gives an equation for r which is r = C/2π. Substituting, 
                                        r = 40 ft / 2π = 6.366 ft
The equation for the surface area of the sphere is SA = 4πr². Substituting the value of radius,
                                        SA = 4π x (6.366 ft)² = 509.30 ft²
Thus, the answer is letter B. 509.3 ft².

abidemiokin

The surface area of a sphere with a circumference of 40 ft is 509.3

Surface area of a sphere

The formula for finding the surface area of a sphere is expressed as:

S = 4πr²

where r is the radius

Given the following

C = 2πr

40 = 2πr

πr = 20

r = 20/3.14

r = 6.37ft

The surface area of the sphere is given as:

S = 4πr²

S = 4(3.14)(6.37)²

S = 509.3

Hence the surface area of a sphere with a circumference of 40 ft is 509.3

Learn more on surface area here: https://brainly.com/question/16519513

#SPJ5

Related Questions