a paper cone have a base diameter of 10cm and height of 12cm.calculate the volume of the cone
A height of 12cm and a base diameter of 10cm
To calculate the volume of a cone, you 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, and h is the height of the cone.
In this case, the base diameter is given as 10 cm. The radius (r) of the base can be obtained by dividing the diameter by 2:
r = 10 cm / 2
r = 5 cm
The height (h) of the cone is given as 12 cm.
Now plug these values into the formula:
Volume = (1/3) * π * (5 cm)^2 * 12 cm
Calculating further:
Volume = (1/3) * 3.14159 * 25 cm^2 * 12 cm
Volume = (1/3) * 3.14159 * 300 cm^3
Volume ≈ 314.16 cm^3
So, the volume of the cone is approximately 314.16 cubic centimeters.
To calculate the volume of a cone, you can use the formula:
Volume = (1/3) * π * r^2 * h,
where "r" is the radius of the cone's base and "h" is the height of the cone.
First, let's calculate the radius. The diameter is given as 10 cm, and the radius is half of the diameter. Therefore, the radius (r) is 10 cm / 2 = 5 cm.
Next, we can substitute the values into the formula:
Volume = (1/3) * π * (5 cm)^2 * 12 cm
Now, let's calculate the volume using these values:
Volume = (1/3) * π * 5^2 * 12
= (1/3) * π * 25 * 12
= (1/3) * π * 300
≈ 314.159 cm³
Therefore, the volume of the paper cone is approximately 314.159 cm³.
just plug in your numbers:
v = pi/12 d^2 h