Question

find the surface area of this sphere. use 3.14 for π. surface area of a sphere sa = 4πr² sa = ? m² round your answer to the nearest tenth. (the sphere has a radius of 7 m as shown in the image.)

Explanation:

Step1: Identify the formula and values

The formula for the surface area of a sphere is \( SA = 4\pi r^2 \), where \( r = 7 \) m and \( \pi = 3.14 \).

Step2: Substitute the values into the formula

Substitute \( r = 7 \) and \( \pi = 3.14 \) into the formula: \( SA = 4\times3.14\times7^2 \)

Step3: Calculate \( 7^2 \)

\( 7^2 = 49 \), so the formula becomes \( SA = 4\times3.14\times49 \)

Step4: Calculate \( 4\times3.14 \)

\( 4\times3.14 = 12.56 \), so now we have \( SA = 12.56\times49 \)

Step5: Calculate \( 12.56\times49 \)

\( 12.56\times49 = 615.44 \)

Step6: Round to the nearest tenth

\( 615.44 \) rounded to the nearest tenth is \( 615.4 \)

Answer:

\( 615.4 \)