Sphere Surface Area Math Example 4

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Example 4

easy
A basketball has a diameter of 2424 cm. Find its surface area.

Solution

  1. 1
    Step 1: The radius is r=242=12r = \frac{24}{2} = 12 cm.
  2. 2
    Step 2: SA=4ฯ€r2=4ฯ€(12)2=4ฯ€(144)=576ฯ€โ‰ˆ1809.56SA = 4\pi r^2 = 4\pi(12)^2 = 4\pi(144) = 576\pi \approx 1809.56 cmยฒ.

Answer

SA=576ฯ€โ‰ˆ1809.56SA = 576\pi \approx 1809.56 cmยฒ
Always convert diameter to radius first (r=d/2=12r = d/2 = 12 cm). Then apply SA=4ฯ€r2=4(144)ฯ€=576ฯ€SA = 4\pi r^2 = 4(144)\pi = 576\pi cmยฒ.

About Sphere Surface Area

The total area covering the curved outer surface of a sphere, given by the formula S=4ฯ€r2S = 4\pi r^2.

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