Volume of Cylinders and Cones

Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by the formula: V = πr²h, where r is the radius and h is the height.

Front

What is the value of π (pi) used in calculations?

Back

The value of π (pi) is approximately 3.14.

Front

How do you calculate the volume of a cone?

Back

The volume V of a cone is calculated using the formula: V = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the relationship between the radius and diameter of a cylinder?

Back

The diameter d of a cylinder is twice the radius r: d = 2r.

Front

If a cylinder has a radius of 3 cm and a height of 10 cm, what is its volume?

Back

V = π(3)²(10) = 90π ≈ 282.7 cm³.

Front

What is the volume of a cylinder with a radius of 4 cm and a height of 5 cm?

Back

V = π(4)²(5) = 80π ≈ 251.3 cm³.

Front

What is the volume of a cone with a radius of 2 m and a height of 6 m?

Back

V = (1/3)π(2)²(6) = (1/3)π(24) = 8π ≈ 25.1 m³.

Front

How do you find the volume of a cylinder if the height is increased?

Back

If the height of a cylinder is increased, the volume increases proportionally, as V = πr²h.

Front

What is the volume of a cylinder with a diameter of 10 inches and a height of 20 inches?

Back

First, find the radius: r = 10/2 = 5 inches. Then, V = π(5)²(20) = 500π ≈ 1570.8 in³.

Front

What is the formula to find the volume of a cylinder with a known diameter?

Back

The volume V can be calculated using: V = π(d/2)²h, where d is the diameter and h is the height.