The area of the base of a circular cylinder is `35cm^(2)` and its heigh is 8 cm The volume of the cylinder is

Options

A. `140cm^(3)`
B. `280cm^(3)`
C. `420cm^(3)`
D. `210 cm^(3)`

Answer

To find the volume of the circular cylinder, we can follow these steps:

### Step 1: Understand the formula for the volume of a cylinder.
The volume \( V \) of a cylinder is given by the formula:
\[ V = A \times h \]
where \( A \) is the area of the base and \( h \) is the height of the cylinder.

### Step 2: Identify the given values.
From the problem, we know:
- The area of the base \( A = 35 \, \text{cm}^2 \)
- The height \( h = 8 \, \text{cm} \)

### Step 3: Substitute the values into the volume formula.
Now, we can substitute the values into the volume formula:
\[ V = 35 \, \text{cm}^2 \times 8 \, \text{cm} \]

### Step 4: Perform the multiplication.
Now, we calculate:
\[ V = 35 \times 8 = 280 \, \text{cm}^3 \]

### Step 5: State the final answer.
Thus, the volume of the cylinder is:
\[ \boxed{280 \, \text{cm}^3} \]

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