Volume of Cylinders and Cones

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

Front

What does π (pi) represent in volume calculations?

Back

π is a mathematical constant approximately equal to 3.14, used in calculations involving circles.

Front

How do you convert the volume of a cylinder from cubic units to liters?

Back

1 cubic meter = 1000 liters; convert cubic units accordingly.

Front

What is the volume of a cylinder with a radius of 3 yd and a height of 10 yd?

Back

V = π(3)²(10) = 90π yd³, approximately 282.7 yd³.

Front

If a cone has a radius of 4 ft and a height of 9 ft, what is its volume?

Back

V = (1/3)π(4)²(9) = 48π ft³, approximately 150.8 ft³.

Front

What is the relationship between the volume of a cylinder and a cone with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.

Front

How do you express the volume of a cylinder in terms of π?

Back

Use the formula V = πr²h and leave π in the answer, e.g., 300π km³.

Front

What is the approximate volume of a cylinder with a radius of 5 m and a height of 12 m?

Back

V = π(5)²(12) = 300π m³, approximately 942.5 m³.

Front

What is the volume of a cone with a radius of 3 m and a height of 6 m?

Back

V = (1/3)π(3)²(6) = 18π m³, approximately 56.5 m³.