The volume (in `cm^3`) of a right circular cylinder with radius `1 cm` and height `2 cm` is (Take `pi = (22)/(7)`)

Options

A. `22/7`
B. 22
C. 44
D. `44/7`

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 1: Identify the given values
From the question, we have:
- Radius \( r = 1 \, \text{cm} \)
- Height \( h = 2 \, \text{cm} \)
- \( \pi = \frac{22}{7} \)

### Step 2: Substitute the values into the formula
Now, we substitute the values of \( \pi \), \( r \), and \( h \) into the volume formula:

\[ \text{Volume} = \pi r^2 h = \frac{22}{7} \times (1)^2 \times 2 \]

### Step 3: Calculate \( r^2 \)
Calculate \( r^2 \):

\[ (1)^2 = 1 \]

### Step 4: Substitute \( r^2 \) back into the formula
Now substitute \( r^2 \) back into the volume formula:

\[ \text{Volume} = \frac{22}{7} \times 1 \times 2 \]

### Step 5: Perform the multiplication
Now, multiply the values:

\[ \text{Volume} = \frac{22 \times 2}{7} = \frac{44}{7} \]

### Step 6: State the final answer
Thus, the volume of the right circular cylinder is:

\[ \text{Volume} = \frac{44}{7} \, \text{cm}^3 \]