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:

\[ V = \pi r^2 h \]

where:
- \( V \) is the volume,
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is a constant approximately equal to \( \frac{22}{7} \) for this problem.

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

### Step 2: Substitute the values into the formula
Now, substitute the values into the volume formula:

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

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

\[ (2)^2 = 4 \]

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

\[ V = \frac{22}{7} \times 4 \times 2 \]

### Step 5: Calculate \( 4 \times 2 \)
Calculate \( 4 \times 2 \):

\[ 4 \times 2 = 8 \]

### Step 6: Substitute back into the formula
Now substitute this value back into the equation:

\[ V = \frac{22}{7} \times 8 \]

### Step 7: Calculate the volume
Now, multiply \( \frac{22}{7} \) by \( 8 \):

\[ V = \frac{22 \times 8}{7} = \frac{176}{7} \]

### Final Answer
Thus, the volume of the right circular cylinder is:

\[ V = \frac{176}{7} \text{ cu.cm.} \]