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Problem 869

# Find the volume of a sphere of radius $$2 .$$

Expert verified
The volume of the sphere with radius 2 is V = $$\frac{32}{3}\pi$$ cubic units.
See the step by step solution

## Step 1: Identify the given information

In the problem, the sphere has a radius of 2 units, so r = 2.

## Step 2: Write the formula for the volume of a sphere

The formula to find the volume of a sphere is given as V = $$\frac{4}{3}\pi r^3$$.

## Step 3: Substitute the given radius value into the volume formula

Now, plug the radius value, r = 2, into the volume formula to get V = $$\frac{4}{3}\pi(2)^3$$.

## Step 4: Evaluate the expression

Evaluate the expression to find the volume: V = $$\frac{4}{3}\pi(8)$$, since (2)^3 = 8.

## Step 5: Calculate the volume

Multiply the constants in the expression: V = $$\frac{32}{3}\pi$$.

## Step 6: Report the final volume

In the end, sphere's volume is V = $$\frac{32}{3}\pi$$ cubic units.

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