need help to volume of the bird seed
with base 6 cm and from base to cylinder 40 cm then base to tip of cone 50 cm
To find the volume of the bird seed container, you need to calculate the volume of both the cylindrical part and the conical part separately, and then add them together.
First, let's start with the cylindrical part:
1. The base radius is given as 6 cm, which means the base diameter is 2 times the radius, so the base diameter is 12 cm.
2. The height of the cylinder is given as the distance from the base to the top of the cylinder, which is 40 cm.
3. The formula to calculate the volume of a cylinder is V = π * r^2 * h, where V represents volume, π is approximately 3.14159, r is the radius, and h is the height.
4. Substituting the given values into the formula, we have V_cylinder = π * 6^2 * 40.
Next, let's calculate the volume of the conical part:
1. The height of the cone is given as the distance from the base to the tip of the cone, which is 50 cm.
2. The formula to calculate the volume of a cone is V = (1/3) * π * r^2 * h, where V represents volume, π is approximately 3.14159, r is the radius, and h is the height.
3. Substituting the given values into the formula, we have V_cone = (1/3) * π * 6^2 * 50.
Finally, let's find the total volume by adding the volumes of the cylindrical and conical parts:
V_total = V_cylinder + V_cone
By substituting the earlier calculations into this equation, you can find the volume of the bird seed container.