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)
cubic centimeters
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius of the base and h is the perpendicular height.
In this case, the radius (r) is given as 5 centimeters and the height (h) is given as 9 centimeters.
Plugging these values into the formula, we get:
V = (1/3)(π)(5^2)(9)
V = (1/3)(π)(25)(9)
V = (1/3)(π)(225)
V = (75/3)π
V = 25π
Rounded to the nearest tenth, the volume of the cone is approximately 78.5 cubic centimeters.
your wrong try again
Apologies for the mistake.
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius of the base and h is the perpendicular height.
In this case, the radius (r) is 5 centimeters and the height (h) is 9 centimeters.
Plugging these values into the formula, we get:
V = (1/3)(π)(5^2)(9)
V = (1/3)(π)(25)(9)
V = (1/3)(π)(225)
V ≈ 235.6 cubic centimeters.
Rounded to the nearest tenth, the volume of the cone is approximately 235.6 cubic centimeters.
still wrong duoble check it
Apologies once again for the mistake.
The volume of a cone is calculated using 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 radius (r) is given as 5 centimeters and the height (h) is given as 9 centimeters.
Plugging these values into the formula, we get:
V = (1/3) * π * (5^2) * 9
V = (1/3) * π * 25 * 9
V = (1/3) * 225 * π
V = 75 * π
Using an approximation of π as 3.14, we can calculate:
V ≈ 75 * 3.14
V ≈ 235.5 cubic centimeters
Rounded to the nearest tenth, the volume of the cone is approximately 235.5 cubic centimeters.
To find the volume of the cone, we can use the formula:
Volume = (1/3) * π * r^2 * h
Where:
- π is a mathematical constant approximately equal to 3.14159
- r is the radius of the base of the cone
- 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. So we can substitute these values into the formula:
Volume = (1/3) * 3.14159 * 5^2 * 9
Simplifying the equation:
Volume = (1/3) * 3.14159 * 25 * 9
= (1/3) * 3.14159 * 225
≈ 235.523
Rounding the answer to the nearest tenth:
Volume ≈ 235.5 cubic centimeters