The sphere has surface area 2058 cm2. Its radius, to the nearest tenth, equals
4πr^2 = 2058
r^2 = 2058/(4π)
r = √ ...
= appr 12.8 cm
To find the radius of the sphere, we can use the formula for the surface area of a sphere. The formula for the surface area of a sphere is:
Surface Area = 4πr^2
Where r is the radius of the sphere.
Given that the surface area of the sphere is 2058 cm^2, we can set up the equation:
2058 = 4πr^2
Dividing both sides of the equation by 4π, we get:
r^2 = 2058/(4π)
To find the radius, we should take the square root of both sides of the equation:
r = √(2058/(4π))
Calculating this expression gives:
r ≈ 8.15 cm
Therefore, the radius of the sphere, to the nearest tenth, is approximately 8.2 cm.
To find the radius of a sphere given its surface area, we can use the formula for the surface area of a sphere:
Surface Area = 4πr^2
Where r is the radius of the sphere and π (pi) is a constant approximately equal to 3.14159.
We are given that the surface area of the sphere is 2058 cm^2. So we can set up the equation:
2058 cm^2 = 4πr^2
To find the radius, we need to solve for r.
Dividing both sides of the equation by 4π:
2058 cm^2 / 4π = r^2
To find the square root of r^2, we take the square root of both sides:
sqrt(2058 cm^2 / 4π) = r
Using a calculator, we can evaluate the expression inside the square root:
sqrt(2058 cm^2 / 4π) ≈ 12.4 cm
Therefore, the radius of the sphere, to the nearest tenth, is approximately 12.4 cm.