A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume (use π≈3.14)?

A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume (use π≈3.14)?

• A. 282.6 cm³
• B. 300 cm³
• C. 280 cm³
• D. 312 cm³

Answer: (A)

To find the volume of a cylinder, the formula used is: \[ V = \pi r^2 h \] where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height of the cylinder. In this case, the radius \( r \) is 3 cm and the height \( h \) is 10 cm. Using these values in the formula: 1. First, calculate the area of the base (which is a circle) using the radius: \[ r^2 = 3^2 = 9 \text{ cm}^2 \] 2. Now, multiply the area of the base by the height and π: \[ V = \pi \times 9 \text{ cm}^2 \times 10 \text{ cm} \] \[ V = 3.14 \times 9 \times 10 \] 3. Calculate \( 3.14 \times 9 \): \[ 3.14 \times 9 = 28.26 \] 4. Now, multiply by 10: \[

To find the volume of a cylinder, the formula used is:

[ V = \pi r^2 h ]

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

In this case, the radius ( r ) is 3 cm and the height ( h ) is 10 cm. Using these values in the formula:

1. First, calculate the area of the base (which is a circle) using the radius:

[

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

]

2. Now, multiply the area of the base by the height and π:

[

V = \pi \times 9 \text{ cm}^2 \times 10 \text{ cm}

]

[

V = 3.14 \times 9 \times 10

]

3. Calculate ( 3.14 \times 9 ):

[

3.14 \times 9 = 28.26

]

4. Now, multiply by 10:

[