Final answer:
The volume of a cone and a cylinder can be found using the formulas involving the radius and height. The volume of the cylinder is 311.22 cubic inches, rounded to the nearest tenth. The volume of the cone is 103.57 cubic inches, rounded to the nearest tenth.
Step-by-step explanation:
To find the volume of a cone and a cylinder with a diameter of 6 inches and a height of 11 inches, we can use the formulas:
Volume of a cylinder: V = πr²h
Where r is the radius and h is the height.
Volume of a cone: V = (1/3)πr²h
Given that the diameter is 6 inches, the radius can be calculated as half of the diameter:
Radius (r) = 6 inches / 2 = 3 inches
Using π as 3.14, we can plug in the values into the formulas:
Volume of the cylinder: V = 3.14 × (3 inches)² × 11 inches = 311.22 cubic inches (rounded to the nearest tenth)
Volume of the cone: V = (1/3) × 3.14 × (3 inches)² × 11 inches = 103.57 cubic inches (rounded to the nearest tenth)