Question

what is the surface area of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. sphere image with 26 mm diameter square millimeters submit

Explanation:

Step1: Find the radius of the sphere

The diameter of the sphere is given as 26 mm. The radius \( r \) is half of the diameter, so \( r=\frac{26}{2}=13 \) mm.

Step2: Use the surface area formula for a sphere

The formula for the surface area \( S \) of a sphere is \( S = 4\pi r^{2} \). Substitute \( r = 13 \) and \( \pi\approx3.14 \) into the formula.
First, calculate \( r^{2} \): \( 13^{2}=169 \).
Then, calculate \( 4\pi r^{2} \): \( 4\times3.14\times169 \).
First, \( 4\times3.14 = 12.56 \).
Then, \( 12.56\times169 \). Let's calculate that: \( 12.56\times169 = 12.56\times(170 - 1)=12.56\times170-12.56\times1 = 2135.2 - 12.56 = 2122.64 \).

Answer:

2122.64