Find the surface area of a sphere with a circumference of 40 ft. Round to the nearest tenth.
The Answer for “What is the surface area of a sphere with a circumference of 40ft? Round the answer to the nearest 10th” is 509.3ft^2
Btw guys download the brainly app and you can scan questions there or Socratic also scans questions 👍👍
To find the surface area of a sphere, we need to know either the radius or the diameter. In this case, we are given the circumference, which is the distance around the sphere.
The formula for the circumference of a sphere is:
C = 2πr
In this case, we are given the circumference of 40 ft. So we can solve the equation for the radius (r):
40 = 2πr
Dividing both sides by 2π gives:
40 / (2π) = r
r ≈ 6.37
Now that we have the radius, we can find the surface area of the sphere using the formula:
Surface Area = 4πr²
Substituting the value of r we found, we get:
Surface Area = 4π(6.37)²
Calculating this expression, we get:
Surface Area ≈ 508.9 ft²
Rounding to the nearest tenth, the surface area of the sphere is approximately 508.9 ft².
6.4ft
since
C = 2πr, r = C/2π
V = 4/3 π r^3 = 4/3 π (C/2π)^3 = C^3/6π^2 = 64000/6π^2