If a cylinder has a radius of 4 cm and a height of 10 cm, what is its volume?

If a cylinder has a radius of 4 cm and a height of 10 cm, what is its volume?

• A. 50π cm³
• B. 100π cm³
• C. 160π cm³
• D. 200π cm³

Answer: (C)

To determine the volume of a cylinder, you can use the formula: \[ \text{Volume} = \pi r^2 h \] Where \( r \) is the radius and \( h \) is the height of the cylinder. In this case, the radius \( r \) is given as 4 cm, and the height \( h \) is 10 cm. Plugging in these values into the formula: 1. First, calculate \( r^2 \): \[ r^2 = 4^2 = 16 \] 2. Now multiply by the height: \[ 16 \times 10 = 160 \] 3. Finally, multiply by \( \pi \): \[ \text{Volume} = 160\pi \text{ cm}^3 \] This shows that the volume of the cylinder is \( 160\pi \text{ cm}^3 \), confirming that the correct answer is indeed the one that corresponds with \( C \). The calculation aligns perfectly with the mathematical procedure for finding the volume of a cylinder and reflects accurate multiplication and application of the formula.

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

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

Where ( r ) is the radius and ( h ) is the height of the cylinder.

In this case, the radius ( r ) is given as 4 cm, and the height ( h ) is 10 cm. Plugging in these values into the formula:

1. First, calculate ( r^2 ):

[ r^2 = 4^2 = 16 ]

2. Now multiply by the height:

[ 16 \times 10 = 160 ]

3. Finally, multiply by ( \pi ):

[ \text{Volume} = 160\pi \text{ cm}^3 ]

This shows that the volume of the cylinder is ( 160\pi \text{ cm}^3 ), confirming that the correct answer is indeed the one that corresponds with ( C ).

The calculation aligns perfectly with the mathematical procedure for finding the volume of a cylinder and reflects accurate multiplication and application of the formula.