To find the volume of a cylinder, we use the formula V = πr²h, where r is the radius and h is the height (or in this case, the length of the pencil).

Step 1: Convert the diameter to radius. The radius is half of the diameter, so the radius of the pencil is 1/2 / 2 = 1/4 cm.

Step 2: Substitute the radius and the height into the formula. The height is 25 cm, so the volume is V = π * (1/4)² * 25.

Step 3: Calculate the volume. (1/4)² = 1/16, so V = π * 1/16 * 25 = 25π/16 cubic cm.

So, the volume of the pencil is 25π/16 cubic cm.

Question

To find the volume of a cylinder, we use the formula V = πr²h, where r is the radius and h is the height (or in this case, the length of the pencil).

Step 1: Convert the diameter to radius. The radius is half of the diameter, so the radius of the pencil is 1/2 / 2 = 1/4 cm.

Step 2: Substitute the radius and the height into the formula. The height is 25 cm, so the volume is V = π * (1/4)² * 25.

Step 3: Calculate the volume. (1/4)² = 1/16, so V = π * 1/16 * 25 = 25π/16 cubic cm.

So, the volume of the pencil is 25π/16 cubic cm.

Knowee AI · Accepted Answer

To find the volume of a cylinder, we use the formula V = πr²h, where r is the radius and h is the height (or in this case, the length of the pencil).

Step 1: Convert the diameter to radius. The radius is half of the diameter, so the radius of the pencil is 1/2 / 2 = 1/4 cm.

Step 2: Substitute the radius and the height into the formula. The height is 25 cm, so the volume is V = π * (1/4)² * 25.

Step 3: Calculate the volume. (1/4)² = 1/16, so V = π * 1/16 * 25 = 25π/16 cubic cm.

So, the volume of the pencil is 25π/16 cubic cm.

A certain unsharpened cylindrical #2 pencil is 1/2 centimeters in diameter and 25 centimeters long. What is the pencil s volume?Group of answer choices