The formula for the surface area of a sphere is \(4\pi r^2\), where \(r\) is the radius. Since the diameter is given, you can find the radius (\(r\)) by dividing the diameter by 2.
So, for a sphere with a diameter of 24 cm, the radius (\(r\)) would be \(24/2 = 12\) cm.
Now, substitute \(r = 12\) into the formula: \(4\pi \times (12)^2\) to find the surface area. Calculate that to get your answer.
Step-by-step explanation:
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Answer:
The formula for the surface area of a sphere is \(4\pi r^2\), where \(r\) is the radius. Since the diameter is given, you can find the radius (\(r\)) by dividing the diameter by 2.
So, for a sphere with a diameter of 24 cm, the radius (\(r\)) would be \(24/2 = 12\) cm.
Now, substitute \(r = 12\) into the formula: \(4\pi \times (12)^2\) to find the surface area. Calculate that to get your answer.
Step-by-step explanation:
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Answer:
The surface area of a sphere can be calculated using the formula:
**Surface Area = 4 * pi * r^2**
where:
* **pi** is a mathematical constant approximately equal to 3.14159
* **r** is the radius of the sphere
**Let's find the surface area of the sphere:**
1. **Find the radius from the diameter:**
* Radius = Diameter / 2
* Radius = 24 cm / 2
* Radius = 12 cm
2. **Substitute the radius into the formula:**
* Surface Area = 4 * pi * (12 cm)^2
* Surface Area = 4 * pi * 144 cm^2
* Surface Area ≈ 4 * 3.14159 * 144 cm^2
* Surface Area ≈ 1810.24 cm^2
Therefore, the surface area of the sphere with a diameter of 24 cm is approximately **1810.24 cm^2**.
I hope this helps! Let me know if you have any other questions.