Question

Find the radius of a sphere which has the surface area of 100picm²?

Answer 1

To find the radius of a sphere with a surface area of 100π cm², you use the formula for the surface area (A = 4πr²) and solve for the radius r. By setting the surface area to 100π and solving for r, you find that the radius of the sphere is 5 cm.

Step-by-step explanation:

The question asks us to find the radius of a sphere that has a surface area of 100π cm². The formula for the surface area of a sphere is given by A = 4πr², where A is the surface area and r is the radius of the sphere.

Using the provided surface area, we can solve for the radius, r, as follows:

1. Set the equation as 100π = 4πr².
2. Divide both sides by 4π to get 25 = r².
3. Take the square root of both sides to find r. Thus, r = √25.
4. The radius r = 5 cm.

Therefore, the radius of the sphere with a surface area of 100π cm² is 5 cm.