We can find the volume of a cylinder by multiplying the area of its base by its height. To find the volume of this cylinder, start by recording the area of the base and the height.

Question

Area Label Arrow
6 in
A = 12.56 in
2

V = B · h
Volume = Area of base · Height
=
in
2
·
in

Answer 1

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

\[ V = A \cdot h \]

where:

• \( V \) is the volume
• \( A \) is the area of the base (in square inches)
• \( h \) is the height (in inches)

From your provided information, we have:

• Area of the base \( A = 12.56 , \text{in}^2 \)
• Height \( h = 6 , \text{in} \)

Now we can substitute these values into the formula:

\[ V = 12.56 , \text{in}^2 \cdot 6 , \text{in} \]

Calculating this gives:

\[ V = 12.56 \times 6 = 75.36 , \text{in}^3 \]

Thus, the volume of the cylinder is:

\[ V = 75.36 , \text{in}^3 \]