Question

10.Sarah is installing security cameras. Each security camera is a sphere. The

camera's surface area is 12.5 sq in. What is its diameter? (hint: it is NOT t
radius, but they are related) (3 marks)

Answer 1

The diameter of the security camera sphere is 1.584in

What is its diameter?

We can use the formula for the surface area of a sphere to find the radius, and then use the radius to find the diameter.

The formula for the surface area of a sphere is 4πr² , where r is the radius of the sphere. Substituting 12.5 for the surface area, we get:

4πr² = 12.5

Now, solve for R

R = 0.792in

d = 2r

= 2 * 0.792in

= 1.584in

The diameter of the security camera sphere is approximately 1.584in