A 3 D cylinder shows a base radius of 3 centimeters and perpendicular height of 5 centimeters. A right angle is formed at the center of the base.


Find the volume of the cylinder, in cubic centimeters. Use 3.14 for pi. Round your answer to the nearest tenth.
(1 point)

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 of the base,
  • \( h \) is the height of the cylinder.

Given:

  • Radius (\( r \)) = 3 cm
  • Height (\( h \)) = 5 cm
  • Use \( \pi \approx 3.14 \)

Now, substituting the values into the formula:

\[ \text{Volume} = 3.14 \times (3)^2 \times 5 \]

Calculating \( (3)^2 \):

\[ (3)^2 = 9 \]

Now substituting this back into the volume formula:

\[ \text{Volume} = 3.14 \times 9 \times 5 \]

Calculating \( 9 \times 5 \):

\[ 9 \times 5 = 45 \]

Now substituting this back:

\[ \text{Volume} = 3.14 \times 45 \]

Calculating \( 3.14 \times 45 \):

\[ 3.14 \times 45 = 141.3 \]

Thus, the volume of the cylinder is approximately \( 141.3 \) cubic centimeters.

When rounded to the nearest tenth, the answer is:

\[ \boxed{141.3} \]