Question

which is the best approximation of the volume of a cylinder with a radius of 10 mm, and a height of 5 mm? use 3.14 for \\(\pi\\).

1,570 cubic millimeters
157 cubic millimeters
523 cubic millimeters
785 cubic millimeters

Explanation:

Identify given values

We are given:

• Radius of the cylinder \(r = 10\text{ mm}\)
• Height of the cylinder \(h = 5\text{ mm}\)
• Approximation for \(\pi \approx 3.14\)

State the formula

The formula for the volume \(V\) of a cylinder is:

$$V = \pi r^2 h$$

Substitute and calculate

Substitute the given values into the formula:

$$V \approx 3.14 \times (10)^2 \times 5$$

$$V \approx 3.14 \times 100 \times 5$$

$$V \approx 314 \times 5$$

$$V \approx 1570\text{ cubic millimeters}$$

Match with options

The calculated volume is \(1,570\text{ cubic millimeters}\), which matches the first option.

Answer:

• (A) 1,570 cubic millimeters (Correct answer)
• (B) 157 cubic millimeters
• (C) 523 cubic millimeters
• (D) 785 cubic millimeters