Find volume of sphere with radius of 11cm

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

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

where \( r \) is the radius of the sphere.

Given that the radius \( r = 11 \) cm, we can calculate the volume:

\[
V = \frac{4}{3} \pi (11)^3
\]

First, we calculate \( 11^3 = 11 \times 11 \times 11 = 1331 \), so:

\[
V = \frac{4}{3} \pi \times 1331
\]

Now multiplying \( \frac{4}{3} \times 1331 \):

\[
V = \frac{5324}{3} \pi \approx 1774.67 \pi
\]

Finally, approximating \( \pi \approx 3.1416 \):

\[
V \approx 1774.67 \times 3.1416 \approx 5577.88 \, \text{cm}^3
\]

So, the volume of the sphere is approximately \( 5577.88 \, \text{cm}^3 \).

Would you like more details or further clarification?

Here are five related questions:
1. How does the volume change if the radius is doubled?
2. What is the surface area of a sphere with the same radius?
3. How does the formula for the volume of a sphere relate to the formula for the volume of a cylinder?
4. Can you express the volume in terms of fractions without approximating \( \pi \)?
5. What is the volume of a hemisphere with a radius of 11 cm?

**Tip:** When doubling the radius of a sphere, the volume increases by a factor of eight, since volume is proportional to the cube of the radius.

Find the volume of a sphere with a radius of 11 cm.

Discover how to find the volume of a sphere with a radius of 11 cm using the formula V = 4/3 π r^3. Follow this step-by-step guide to calculate the volume of the sphere, approximately 5577.88 cm³. Ideal for students in Grades 9-10.

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