Question

Fill in the steps to find the volume of the cylinder below with radius 8 cm and height 15 cm.

Use 3.14 for π

V = Bh

V = πr²h

V = *blank 1* times *blank 2*² times *blank 3*

V = *blank 4* cm⁴

Options for blank 1 2 and 3
A 8
B 15
C 3.14
D 3

Answer 1

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

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

First, let's fill in the blanks according to the formula and the values given:

1. For **blank 1**, we have \(\pi\), which is given as 3.14, so we will fill in:

**blank 1** = C (3.14)

2. For **blank 2**, we have the radius \(r\), which is 8 cm, so we will fill in:

**blank 2** = A (8)

3. For **blank 3**, we have the height \(h\), which is 15 cm, so we will fill in:

**blank 3** = B (15)

Now we can rewrite the volume formula with the filled blanks:

\[
V = 3.14 \times 8^2 \times 15
\]

Now for **blank 4**, we will calculate the volume. First, we need to calculate \(8^2\):

\[
8^2 = 64
\]

Now we can substitute this back into the equation:

\[
V = 3.14 \times 64 \times 15
\]

Calculating \(3.14 \times 64\):

\[
3.14 \times 64 = 200.96
\]

Now, multiplying by height (15):

\[
200.96 \times 15 = 3014.4
\]

Thus, we have:

\[
V = 3014.4 \text{ cm}^3
\]

So, for **blank 4**, the answer will be:

**blank 4** = 3014.4

The final completed steps are:

V = C times A² times B

V = 3014.4 cm³