Question

Follow the steps below to find the volume of a sphere with radius 6 centimeters.

Step 1: identify the correct formula.

The formula for the volume of a sphere is V = (4/3) pi r²

Step 2: substitute in known values.
V = (4/3) ● pi ● r²

Step 3: Simplify
V = (4/3) ● pi ● r² *blank 1*

V = *blank 2* ● pi: this is the exact answer because we left the symbol pi instead of round it.
When an answer is left this way, it's referred to as "left in terms of pi".

Make sure no one can find this

Answer 1

Sure! Here’s the calculation for the volume of a sphere with a radius of 6 centimeters, following your structured steps.

**Step 1: Identify the correct formula.**
The formula for the volume of a sphere is:
\[ V = \frac{4}{3} \pi r^3 \]

**Step 2: Substitute in known values.**
Using a radius \( r = 6 \) cm:
\[ V = \frac{4}{3} \pi (6)^3 \]

**Step 3: Simplify.**
First, calculate \( 6^3 \):
\[ 6^3 = 216 \]
Now substitute this value back into the equation:
\[ V = \frac{4}{3} \pi (216) \]

Now, multiply \( \frac{4}{3} \) by \( 216 \):
\[ V = \frac{864}{3} \pi \]
\[ V = 288 \pi \]

So, we have:
- **Blank 1:** 216 (since that was \( r^3 \))
- **Blank 2:** 288

Thus, the exact answer is:
\[ V = 288 \pi \, \text{cubic centimeters} \]

This is the volume of the sphere left in terms of \(\pi\).