what is the approximate surface area of the sphere?

Question

A sphere labeled upper C is 37.68 km. c=circumference

Answer 1

The circumference (C) of a sphere is given by the formula C = 2πr, where r is the radius of the sphere. We can rearrange the formula to solve for the radius, r = C / (2π).

Given that C = 37.68 km, we can calculate the radius:

r = 37.68 km / (2π)
r ≈ 37.68 km / (2 * 3.1416)
r ≈ 2.995 km

Now that we have the radius, we can calculate the surface area (A) of the sphere using the formula A = 4πr²:

A ≈ 4 * 3.1416 * (2.995 km)²
A ≈ 4 * 3.1416 * 8.970025 km²
A ≈ 12.5664 * 8.970025 km²
A ≈ 112.744 km²

So, the approximate surface area of the sphere is 112.744 km².

Answer 2

If the circumference of a sphere is given as 37.68 km, we can use that information to find the radius of the sphere.

The formula for the circumference of a sphere is given by:

C = 2πr

where C is the circumference and r is the radius.

Rearranging the formula, we get:

r = C / 2π

Substituting the given value of circumference, we get:

r = 37.68 km / 2π

r ≈ 6.0 km (rounded to one decimal place)

Now that we know the radius of the sphere, we can use the formula for the surface area of a sphere, which is:

A = 4πr^2

Substituting the value of r, we get:

A = 4π(6.0 km)^2

A ≈ 452.4 km^2 (rounded to two decimal places)

Therefore, the approximate surface area of the sphere is 452.4 km^2.

Answer 3

Note: This answer is different from the previous answer because we assumed that the circumference given was for the equator of the sphere, whereas the previous answer assumed it was the circumference of the sphere itself. Depending on the context, either assumption may be valid.