The radius of base of cylinder is 2.1 cm and height is 5 cm. Its volume is `:`

Options

A. 22.05 `pi`
B. `7.35 pi `
C. `21 pi `
D. None of these

Answer

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

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

where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.

**Step 1: Identify the given values**
- Radius \( r = 2.1 \) cm
- Height \( h = 5 \) cm

**Step 2: Substitute the values into the volume formula**
\[ V = \pi (2.1)^2 (5) \]

**Step 3: Calculate \( r^2 \)**
\[ (2.1)^2 = 4.41 \]

**Step 4: Substitute \( r^2 \) back into the volume formula**
\[ V = \pi (4.41)(5) \]

**Step 5: Multiply \( 4.41 \) by \( 5 \)**
\[ 4.41 \times 5 = 22.05 \]

**Step 6: Multiply by \( \pi \)**
\[ V = 22.05 \pi \]

**Step 7: State the final answer**
The volume of the cylinder is \( 22.05 \pi \) cm³.

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