Question

A cylinder has a height of 13 millimeters and a radius of 15 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answer 1

The volume of the cylinder is calculated using the formula V = πr²h, and with the given dimensions, the volume is found to be 9184.50 mm³ when rounded to the nearest hundredth.

Step-by-step explanation:

The question asks to calculate the volume of a cylinder with a height of 13 millimeters and a radius of 15 millimeters using π ≈ 3.14 and to round the answer to the nearest hundredth.

To find the volume, you can use the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius, and h is the height.

First, square the radius: r² = 15 mm × 15 mm = 225 mm². Next, multiply that by π: 225 mm² × 3.14 = 706.5 mm³. Finally, multiply by the height (h): 706.5 mm³ × 13 mm = 9184.5 mm³.

Therefore, the volume of the cylinder is 9184.5 mm³, which rounds to 9184.50 mm³ to the nearest hundredth.

Answer 2

Answer: The volume of the cylinder is 9,184.5 cubic millimeters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder (V) : π x radius ² x height

Replacing with the values given and solving for v (Volume)

V = 3.14 x 15² x 13

V = 9,184.5 mm3

In conclusion, the volume of the cylinder is 9,184.5 cubic millimeters.

Feel free to ask for more if needed or if you did not understand something