Use the image to answer the question.
A right cone shows a base radius of 5 centimeters and a perpendicular height of 9 centimeters. A right angle is formed with the diameter and the height at the center of the circular base.
What is the volume of the cone in cubic centimeters? Use 3.14 for pi. Round your answer to the nearest tenth. (1 point)
To find the volume of a cone, we can use the formula:
Volume = (1/3) * π * r^2 * h
Where:
- π is a constant value of 3.14
- r is the radius of the base
- h is the height of the cone
Given that the base radius is 5 centimeters and the height is 9 centimeters, we can substitute these values into the formula:
Volume = (1/3) * 3.14 * 5^2 * 9
Simplifying the equation:
Volume = (1/3) * 3.14 * 25 * 9
= (1/3) * 3.14 * 225
= (1/3) * 706.5
≈ 235.5
Rounded to the nearest tenth, the volume of the cone is approximately 235.5 cubic centimeters.