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)
cubic centimeters
To find the volume of a cone, we use the formula:
Volume = 1/3 * π * radius^2 * height
Given that the base radius is 5 centimeters and the height is 9 centimeters, we can plug these values into the formula:
Volume = 1/3 * 3.14 * (5 cm)^2 * 9 cm
Simplifying this equation gives:
Volume = 1/3 * 3.14 * 25 cm^2 * 9 cm
Volume = 1/3 * 3.14 * 225 cm^3
Volume ≈ 235.6 cm^3
Rounded to the nearest tenth, the volume of the cone is approximately 235.6 cubic centimeters.