What is the volume of a cone with a radius of 3 cm and a height of 6 cm? I can't get this one right for some reason!
V = 1/3 * pi * r^2 * h
V = (3.14 * 9 * 6)/3
V = 169.56/3
V = 53.52 cubic cm
http://math.about.com/od/formulas/ss/surfaceareavol_2.htm
To find 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 cone
- h is the height of the cone
In this case, the radius (r) is 3 cm and the height (h) is 6 cm.
Let's substitute these values into the formula:
Volume = (1/3) * π * (3 cm)^2 * 6 cm
Simplifying the equation:
Volume = (1/3) * 3.14 * (3 cm)^2 * 6 cm
Volume = (1/3) * 3.14 * 9 cm^2 * 6 cm
Volume = (1/3) * 3.14 * 54 cm^3
Volume = 56.52 cm^3
Therefore, the volume of the cone is 56.52 cubic cm.
To find the volume of a cone, you can use the formula:
V = (1/3) * π * r^2 * h
Where:
V represents the volume of the cone,
π (pi) 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 3 cm and the height (h) is given as 6 cm.
Let's substitute these values into the formula:
V = (1/3) * π * (3 cm)^2 * 6 cm
Now, we can calculate it step-by-step:
Step 1: Calculate the square of the radius:
r^2 = (3 cm)^2 = 9 cm^2
Step 2: Substitute the calculated value of r^2 and the given value of h into the formula:
V = (1/3) * π * 9 cm^2 * 6 cm
Step 3: Calculate the final volume:
V ≈ 56.55 cm^3
Therefore, the volume of the cone with a radius of 3 cm and a height of 6 cm is approximately 56.55 cubic centimeters.