A cone has a height of 12 centimeters and a radius of 5 centimeters. What is its volume?
To find the volume of a cone, you can use the formula:
Volume = (1/3) * pi * r^2 * h
Where:
- pi is a mathematical constant, approximately equal to 3.14159
- r is the radius of the cone
- h is the height of the cone
Given:
Radius (r) = 5 centimeters
Height (h) = 12 centimeters
Now, substitute the given values into the formula and calculate the volume:
Volume = (1/3) * pi * (5^2) * 12
= (1/3) * 3.14159 * 25 * 12
= (1/3) * 3.14159 * 300
= 3.14159 * 100
= 314.159 cubic centimeters
Therefore, the volume of the cone is 314.159 cubic centimeters.
To find the volume of a cone, you can use the formula V = (1/3) * π * r^2 * h, where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the cone's 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 12 centimeters. Plugging these values into the formula, we have:
V = (1/3) * π * 5^2 * 12
To simplify this calculation, first square the radius: 5^2 = 25. Then multiply this result by the height: 25 * 12 = 300. Finally, multiply by (1/3) * π to get the volume:
V = (1/3) * 3.14159 * 300
Simplifying further, we have:
V = 3.14159 * 300/3
Performing the division, we get:
V ≈ 3.14159 * 100
Calculating the product, we get:
V ≈ 314.159
Rounding the answer to the nearest centimeter (since the given measurements are in centimeters), the volume of the cone is approximately 314 cubic centimeters.