The area of the base is 12.56 inches

2
and the height is 6 inches. What is the volume of the cylinder?
Area Label Arrow
6 in
A = 12.56 in
2

V = B · h
Volume = Area of base · Height
= 12.56 in
2
· 6 in
=
in
3

1 answer

To find the volume of the cylinder, you can use the formula:

\[ V = B \cdot h \]

where \( V \) is the volume, \( B \) is the area of the base, and \( h \) is the height.

You've given:

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

Now, substitute the values into the formula:

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

Calculating this gives:

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

So, the volume of the cylinder is:

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