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? Round your answer to the nearest tenth.
To find the volume of a cone, we can use the formula:
Volume = (1/3) x π x r² x h
where r is the radius of the base and h is the perpendicular height of the cone.
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) x π x (5 cm)² x (9 cm)
Volume = (1/3) x π x 25 cm² x 9 cm
Volume = (1/3) x π x 225 cm³
Volume ≈ 235.6 cm³
Therefore, the volume of the cone is approximately 235.6 cubic centimeters.