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.(1 point)
To find the volume of a cone, we can use the formula: V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.
In this case, the base radius is given as 5 centimeters and the height is given as 9 centimeters.
Substituting these values into the formula, we get:
V = (1/3)π(5^2)(9)
Calculating this, we get:
V ≈ (1/3)π(25)(9) ≈ (1/3)π(225) ≈ 75π cubic centimeters
Rounding this to the nearest tenth, we get:
V ≈ 75π ≈ 235.6 cubic centimeters
Therefore, the volume of the cone is approximately 235.6 cubic centimeters.