The Radius $R$ Of A Sphere Is 4.8 M. Calculate The Sphere's Surface Area $A$. Use The Value 3.14 For $ Π \pi Π [/tex], And Round Your Answer To The Nearest Tenth.$A = \square , \text{m}^2$

Introduction

In mathematics, a sphere is a three-dimensional shape that is perfectly round and has no edges or corners. The surface area of a sphere is the total area of its surface, and it is an important concept in geometry and physics. In this article, we will calculate the surface area of a sphere given its radius.

The Formula for the Surface Area of a Sphere

The surface area of a sphere is given by the formula:

$$A = 4\pi R^2$$

where $A$ is the surface area and $R$ is the radius of the sphere. We are given that the radius of the sphere is 4.8 m, and we will use the value 3.14 for $\pi$.

Calculating the Surface Area

Now, let's plug in the values into the formula:

$$A = 4 \times 3.14 \times (4.8)^2$$

First, we will calculate the square of the radius:

$$(4.8)^2 = 23.04$$

Now, we will multiply the result by 4 and 3.14:

$$A = 4 \times 3.14 \times 23.04$$

$$A = 291.8912$$

Finally, we will round the result to the nearest tenth:

$$A = 291.9 \, \text{m}^2$$

Conclusion

In this article, we calculated the surface area of a sphere given its radius. We used the formula $A = 4\pi R^2$ and plugged in the values to get the result. We also rounded the result to the nearest tenth. The surface area of the sphere is 291.9 m^2.

Real-World Applications

The surface area of a sphere has many real-world applications. For example, it is used in architecture to design buildings and bridges. It is also used in engineering to design machines and mechanisms. In addition, it is used in physics to calculate the energy of a sphere.

Example Problems

Here are a few example problems that you can try:

• What is the surface area of a sphere with a radius of 5 m?
• What is the surface area of a sphere with a radius of 3 m?
• What is the surface area of a sphere with a radius of 2 m?

Solutions

Here are the solutions to the example problems:

• The surface area of a sphere with a radius of 5 m is:

$$A = 4 \times 3.14 \times (5)^2$$

$$A = 314 \, \text{m}^2$$

• The surface area of a sphere with a radius of 3 m is:

$$A = 4 \times 3.14 \times (3)^2$$

$$A = 113.04 \, \text{m}^2$$

• The surface area of a sphere with a radius of 2 m is:

$$A = 4 \times 3.14 \times (2)^2$$

$$A = 50.24 \, \text{m}^2$$

Tips and Tricks

Here are a few tips and tricks that you can use to calculate the surface area of a sphere:

• Make sure to use the correct formula: $A = 4\pi R^2$
• Plug in the values carefully: make sure to use the correct values for $\pi$ and $R$
• Round the result to the nearest tenth: this will give you the most accurate answer

Conclusion

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Introduction

In our previous article, we calculated the surface area of a sphere given its radius. We used the formula $A = 4\pi R^2$ and plugged in the values to get the result. In this article, we will answer some frequently asked questions about the surface area of a sphere.

Q: What is the surface area of a sphere with a radius of 6 m?

A: To calculate the surface area of a sphere with a radius of 6 m, we will use the formula $A = 4\pi R^2$. Plugging in the values, we get:

$$A = 4 \times 3.14 \times (6)^2$$

$$A = 452.16 \, \text{m}^2$$

Q: What is the surface area of a sphere with a radius of 1 m?

A: To calculate the surface area of a sphere with a radius of 1 m, we will use the formula $A = 4\pi R^2$. Plugging in the values, we get:

$$A = 4 \times 3.14 \times (1)^2$$

$$A = 12.56 \, \text{m}^2$$

Q: How do I calculate the surface area of a sphere with a radius of 10 m?

A: To calculate the surface area of a sphere with a radius of 10 m, we will use the formula $A = 4\pi R^2$. Plugging in the values, we get:

$$A = 4 \times 3.14 \times (10)^2$$

$$A = 1256 \, \text{m}^2$$

Q: What is the surface area of a sphere with a radius of 0.5 m?

A: To calculate the surface area of a sphere with a radius of 0.5 m, we will use the formula $A = 4\pi R^2$. Plugging in the values, we get:

$$A = 4 \times 3.14 \times (0.5)^2$$

$$A = 3.14 \, \text{m}^2$$

Q: How do I calculate the surface area of a sphere with a radius of 8 m?

A: To calculate the surface area of a sphere with a radius of 8 m, we will use the formula $A = 4\pi R^2$. Plugging in the values, we get:

$$A = 4 \times 3.14 \times (8)^2$$

$$A = 1018.4 \, \text{m}^2$$

Q: What is the surface area of a sphere with a radius of 2.5 m?

A: To calculate the surface area of a sphere with a radius of 2.5 m, we will use the formula $A = 4\pi R^2$. Plugging in the values, we get:

$$A = 4 \times 3.14 \times (2.5)^2$$

$$A = 98.02 \, \text{m}^2$$

Q: How do I calculate the surface area of a sphere with a radius of 9 m?

A: To calculate the surface area of a sphere with a radius of 9 m, we will use the formula $A = 4\pi R^2$. Plugging in the values, we get:

$$A = 4 \times 3.14 \times (9)^2$$

$$A = 2549.46 \, \text{m}^2$$

Conclusion

In this article, we answered some frequently asked questions about the surface area of a sphere. We provided examples of how to calculate the surface area of a sphere with different radii. We also provided tips and tricks for calculating the surface area of a sphere.

Tips and Tricks

Here are a few tips and tricks that you can use to calculate the surface area of a sphere:

• Make sure to use the correct formula: $A = 4\pi R^2$
• Plug in the values carefully: make sure to use the correct values for $\pi$ and $R$
• Round the result to the nearest tenth: this will give you the most accurate answer

Real-World Applications

The surface area of a sphere has many real-world applications. For example, it is used in architecture to design buildings and bridges. It is also used in engineering to design machines and mechanisms. In addition, it is used in physics to calculate the energy of a sphere.

Example Problems

Here are a few example problems that you can try:

• What is the surface area of a sphere with a radius of 7 m?
• What is the surface area of a sphere with a radius of 4 m?
• What is the surface area of a sphere with a radius of 3.5 m?

Solutions

Here are the solutions to the example problems:

• The surface area of a sphere with a radius of 7 m is:

$$A = 4 \times 3.14 \times (7)^2$$

$$A = 615.44 \, \text{m}^2$$

• The surface area of a sphere with a radius of 4 m is:

$$A = 4 \times 3.14 \times (4)^2$$

$$A = 201.06 \, \text{m}^2$$

• The surface area of a sphere with a radius of 3.5 m is:

$$A = 4 \times 3.14 \times (3.5)^2$$

$$A = 153.94 \, \text{m}^2$$