Question

Calculate the volume of a cylinder with diameter 10 cm and height 12 cm. Use 3.14 for pi.

V = Bh

V= πr²h

If the diameter is 10 cm then the radius is *blank 1* cm.

V = *blank 2* times *blank 3*² times *blank 4*

V = *blank 5* cm³

Answer 1

To solve for the volume of the cylinder, we start with the formula:

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

1. **Calculate the radius**:
If the diameter is 10 cm, the radius is:
\[
\text{Radius} = \frac{\text{Diameter}}{2} = \frac{10 \text{ cm}}{2} = 5 \text{ cm}
\]
So, blank 1 is **5** cm.

2. **Substituting values into the volume formula**:
\[
V = \pi r^2 h
\]
Substituting the known values:
- \( \pi = 3.14 \)
- \( r = 5 \text{ cm} \)
- \( h = 12 \text{ cm} \)

So, we have:
\[
V = 3.14 \times 5^2 \times 12
\]

Therefore, blank 2 is **3.14**, blank 3 is **5**, and blank 4 is **12**.

3. **Calculating \( V \)**:
First, calculate \( 5^2 \):
\[
5^2 = 25
\]

Now, substitute this back into the volume equation:
\[
V = 3.14 \times 25 \times 12
\]

Now, multiply \( 3.14 \times 25 \):
\[
3.14 \times 25 = 78.5
\]

Now, multiply this by 12:
\[
V = 78.5 \times 12 = 942
\]

So, the final calculation gives us:
- **blank 5** is **942** cm³.

Putting it all together:

1. The radius is **5** cm.
2. The expression for volume is **3.14 \times 5^2 \times 12**.
3. The volume is **942** cm³.