Questions: 5. Find the volume of the cone below.

5. Find the volume of the cone below.
Transcript text: 5. Find the volume of the cone below.
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Solution

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Solution Steps

Step 1: Identify the given values

The problem provides the radius \( r \) and the height \( h \) of the cone. Both are given as 10 cm.

Step 2: Recall the formula for the volume of a cone

The volume \( V \) of a cone is given by the formula: \[ V = \frac{1}{3} \pi r^2 h \]

Step 3: Substitute the given values into the formula

Substitute \( r = 10 \) cm and \( h = 10 \) cm into the formula: \[ V = \frac{1}{3} \pi (10)^2 (10) \]

Step 4: Simplify the expression

Calculate the volume: \[ V = \frac{1}{3} \pi (100) (10) \] \[ V = \frac{1}{3} \pi (1000) \] \[ V = \frac{1000}{3} \pi \]

Final Answer

The volume of the cone is \(\frac{1000}{3} \pi \) cubic centimeters.

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