The volume of a cylinder whose height is 4cm and whose radius 5cm is equal to (π = 3.14)

1. Analyze the question

We are asked to calculate the volume of a cylinder given its height ($h$) and radius ($r$).

• Height ($h$) = 4 cm
• Radius ($r$) = 5 cm
• Constant ($\pi$) = 3.14

2. Explain the concept

The volume ($V$) of a cylinder is the amount of space it occupies. The formula to calculate this is:

Where:

• $\pi$ (pi) is a constant.
• $r$ is the radius of the circular base.
• $h$ is the height of the cylinder.

3. Show the solution

Step 1: Identify the given values. $r = 5$ $h = 4$ $\pi = 3.14$

Step 2: Substitute the values into the formula. $V = 3.14 \times (5)^2 \times 4$

Step 3: Calculate the square of the radius. $5^2 = 5 \times 5 = 25$

Step 4: Multiply the values together. $V = 3.14 \times 25 \times 4$ $V = 3.14 \times 100$ $V = 314$

Since we are calculating volume, the unit is in cubic centimeters ($\text{cm}^3$). Note: While the options provided in your question list the unit as $\text{cm}^2$ (which is technically for area), the numerical value corresponds to the volume calculation.

4. Identify the answer

Comparing our result of 314 to the given options, the correct choice is C.

5. Tip

When dealing with volume problems involving $\pi$, always square the radius before multiplying by the height and $\pi$. Also, remember that volume is always in cubic units ($\text{cm}^3$, $\text{m}^3$), while area is in square units ($\text{cm}^2$, $\text{m}^2$). Don't let the unit label in the question distract you from the correct numerical calculation!