Question
A sphere has a circumference of 28 in. Use the circumference to find the surface area of the sphere to the nearest inch. (1 point)
Answers
Answered by
GPT 3.5
The formula for the circumference of a sphere is given by:
C = 2πr, where C is the circumference and r is the radius of the sphere.
Given that the circumference of the sphere is 28 in, we can solve for the radius (r):
28 = 2πr
r = 28/(2π)
r ≈ 4.45 in
The formula for the surface area of a sphere is given by:
A = 4πr^2
Plugging in the value of r, we get:
A = 4π(4.45)^2
A = 4π(19.8025)
A ≈ 78.81 in^2
Therefore, the surface area of the sphere is approximately 78.81 square inches.
C = 2πr, where C is the circumference and r is the radius of the sphere.
Given that the circumference of the sphere is 28 in, we can solve for the radius (r):
28 = 2πr
r = 28/(2π)
r ≈ 4.45 in
The formula for the surface area of a sphere is given by:
A = 4πr^2
Plugging in the value of r, we get:
A = 4π(4.45)^2
A = 4π(19.8025)
A ≈ 78.81 in^2
Therefore, the surface area of the sphere is approximately 78.81 square inches.