Question

Surface area of a sphere = 4mr?, where r is the radius.

A sphere with a surface area of 196 cm? is shown below.
Work out the radius of the sphere.
If your answer is a decimal, give it to 1 d.p.

Answer 1

The radius of the sphere is approximately 3.13 cm.

Step-by-step explanation:

To find the radius of the sphere, we can rearrange the formula for the surface area of a sphere: A = 4πr^2. Given that the surface area is 196 cm², we can substitute this value into the formula:

196 = 4πr^2

To solve for the radius, we need to isolate it on one side of the equation. Divide both sides of the equation by 4π:

r^2 = 49/π

Take the square root of both sides to find the value of r:

r = √(49/π)

Using a calculator to approximate the value of π as 3.14, we get:

r ≈ √(49/3.14) ≈ 3.13 cm