The volume (in cu.cm.) of a right circular cylinder with radius 2 cm and height 2 cm is: (take `pi=(22)/(7)`)

Options

A. `175//7`
B. `176//21`
C. `176//7`
D. 176

Answer

To find the volume of a right circular cylinder, we can use the formula:

\[ \text{Volume} = \pi r^2 h \]

Where:
- \( \pi \) is a constant (approximately 3.14, but we will use \( \frac{22}{7} \) as given in the question),
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder.

### Step 1: Identify the given values
- Radius \( r = 2 \) cm
- Height \( h = 2 \) cm
- \( \pi = \frac{22}{7} \)

### Step 2: Substitute the values into the formula
\[ \text{Volume} = \frac{22}{7} \times (2)^2 \times 2 \]

### Step 3: Calculate \( r^2 \)
\[ (2)^2 = 4 \]

### Step 4: Substitute \( r^2 \) back into the volume formula
\[ \text{Volume} = \frac{22}{7} \times 4 \times 2 \]

### Step 5: Calculate \( 4 \times 2 \)
\[ 4 \times 2 = 8 \]

### Step 6: Substitute this value back into the volume formula
\[ \text{Volume} = \frac{22}{7} \times 8 \]

### Step 7: Multiply \( \frac{22}{7} \) by 8
\[ \text{Volume} = \frac{22 \times 8}{7} = \frac{176}{7} \]

### Step 8: State the final answer
The volume of the right circular cylinder is:
\[ \frac{176}{7} \text{ cubic centimeters} \]