Find the volume of the cylinder.- Use 3.14 for pi.

(1 point)
Responses

169.56 cubic centimeters
169.56 cubic centimeters

678.24 cubic centimeters
678.24 cubic centimeters

226.08 cubic centimeters
226.08 cubic centimeters

339.12 cubic centimeters
339.12 cubic centimeters

hight6cm radius3cm

1 answer

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

\[ \text{Volume} = \pi r^2 h \]

Where:

  • \( r \) is the radius
  • \( h \) is the height
  • \( \pi \) is approximately 3.14

Given:

  • Height \( h = 6 \) cm
  • Radius \( r = 3 \) cm

Now, plug the values into the formula:

\[ \text{Volume} = 3.14 \times (3 \text{ cm})^2 \times 6 \text{ cm} \]

First, calculate \( (3 \text{ cm})^2 \):

\[ (3 \text{ cm})^2 = 9 \text{ cm}^2 \]

Now substitute back into the volume formula:

\[ \text{Volume} = 3.14 \times 9 \text{ cm}^2 \times 6 \text{ cm} \] \[ \text{Volume} = 3.14 \times 54 \text{ cm}^3 \] \[ \text{Volume} = 169.56 \text{ cm}^3 \]

So the volume of the cylinder is 169.56 cubic centimeters.