What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm? (Use π ≈ 3.14)

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm? (Use π ≈ 3.14)

• A. 28.26 cm³
• B. 78.54 cm³
• C. 141.3 cm³
• D. 150 cm³

Answer: (C)

To find the volume of a cylinder, you use the formula: \[ V = \pi r^2 h \] where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height. In this case, the radius \( r \) is 3 cm and the height \( h \) is 5 cm. First, calculate the area of the base of the cylinder, which is a circle: \[ r^2 = 3^2 = 9 \, \text{cm}^2 \] Next, substitute the values into the volume formula: \[ V = \pi \times 9 \times 5 \] Using \( \pi \approx 3.14 \): \[ V \approx 3.14 \times 9 \times 5 \] Now calculate \( 3.14 \times 9 \): \[ 3.14 \times 9 = 28.26 \] Then multiply that result by the height of 5 cm: \[ V \approx 28.26 \times 5 = 141.3 \, \text{cm}^3

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

[

V = \pi r^2 h

]

where ( V ) is the volume, ( r ) is the radius, and ( h ) is the height.

In this case, the radius ( r ) is 3 cm and the height ( h ) is 5 cm.

First, calculate the area of the base of the cylinder, which is a circle:

[

r^2 = 3^2 = 9 , \text{cm}^2

]

Next, substitute the values into the volume formula:

[

V = \pi \times 9 \times 5

]

Using ( \pi \approx 3.14 ):

[

V \approx 3.14 \times 9 \times 5

]

Now calculate ( 3.14 \times 9 ):

[

3.14 \times 9 = 28.26

]

Then multiply that result by the height of 5 cm:

[

V \approx 28.26 \times 5 = 141.3 , \text{cm}^3