What is the volume of this sphere? the radius is 36 

Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

The volume \( V \) of a sphere is given by the formula:

\[
V = \frac{4}{3} \pi r^3
\]

where \( r \) is the radius of the sphere and \( \pi \) is approximately 3.14.

Given that \( r = 36 \), we can plug this into the formula:

\[
V = \frac{4}{3} \times 3.14 \times (36)^3
\]

First, calculate \( 36^3 \):

\[
36^3 = 36 \times 36 \times 36 = 46,656
\]

Now, plug this value back into the formula:

\[
V = \frac{4}{3} \times 3.14 \times 46,656
\]

Calculate the result step by step:

\[
V = \frac{4}{3} \times 146,497.92 = \frac{4 \times 146,497.92}{3} = \frac{585,991.68}{3} = 195,330.56
\]

So, the volume of the sphere is approximately **195,330.56 cubic units**.

Do you have any questions or want further details?

Here are 5 related questions to expand on this:
1. How does the formula for a sphere's volume compare to that of a cylinder?
2. How would the volume change if the radius was doubled?
3. Can you derive the volume formula for a sphere using calculus?
4. How would using a more accurate value for \( \pi \) affect the result?
5. What would be the surface area of this sphere?

**Tip:** Always calculate exponents before multiplying by other terms in a formula for best accuracy.

What is the volume of this sphere? The radius is 36. Use ​π ≈ 3.14 and round your answer to the nearest hundredth.

Calculate the volume of a sphere with a radius of 36 using the approximation π ≈ 3.14. This detailed step-by-step guide breaks down the volume formula and shows how to arrive at the final answer of approximately 195,330.56 cubic units. Suitable for students in Grades 8-10.

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