Question

find the surface area of this sphere. use 3.14 for π. 4 cm (diagram of sphere with radius 4 cm) surface area of a sphere sa = 4πr² sa = ? cm² round your answer to the nearest tenth

Explanation:

Step1: Identify the radius

The radius \( r \) of the sphere is given as \( 4 \) cm.

Step2: Recall the formula for surface area of a sphere

The formula for the surface area \( SA \) of a sphere is \( SA = 4\pi r^2 \).

Step3: Substitute the values

We know \( \pi = 3.14 \) and \( r = 4 \). Substitute these values into the formula:
\( SA = 4\times3.14\times4^2 \)
First, calculate \( 4^2 = 16 \). Then, \( 4\times3.14 = 12.56 \). Now, multiply \( 12.56\times16 \).
\( 12.56\times16 = 200.96 \)

Answer:

\( 200.96 \)