What is the volume of a cylinder with a radius of 3 cm and height of 10 cm? (Use π ≈ 3.14)

• A. 28.26 cm³
• B. 84.78 cm³
• C. 94.20 cm³
• D. 56.52 cm³

Answer: (B)

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. Substituting these values into the formula:

1. Calculate the area of the base of the cylinder:

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

2. Now, multiply this by the height:

[ V = \pi \times 9 \times 10 ]

3. Substituting ( \pi ) with 3.14:

[ V = 3.14 \times 9 \times 10 ]

[ V = 3.14 \times 90 ]

[ V = 282.6 , \text{cm}^3 ]

4. However, to express this in cubic centimeters, we need to divide by 100 (to account for the scaling in cm³