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

Options

A. 308
B. 308/21
C. 308/7
D. 310

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 in this case, we will use \( \frac{22}{7} \)),
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder.

### Step-by-step Solution:

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

2. **Substitute the values into the volume formula**:
\[ \text{Volume} = \pi r^2 h = \frac{22}{7} \times (7)^2 \times 2 \]

3. **Calculate \( r^2 \)**:
\[ (7)^2 = 49 \]

4. **Substitute \( r^2 \) back into the equation**:
\[ \text{Volume} = \frac{22}{7} \times 49 \times 2 \]

5. **Multiply \( 49 \) by \( 2 \)**:
\[ 49 \times 2 = 98 \]

6. **Now substitute \( 98 \) back into the equation**:
\[ \text{Volume} = \frac{22}{7} \times 98 \]

7. **Simplify \( \frac{98}{7} \)**:
\[ \frac{98}{7} = 14 \]

8. **Now multiply \( 22 \) by \( 14 \)**:
\[ 22 \times 14 = 308 \]

9. **Final result**:
\[ \text{Volume} = 308 \text{ cubic cm} \]

### Conclusion:
The volume of the right circular cylinder is \( 308 \) cubic centimeters.