Volume of Cones, Cylinders, Spheres

Front

What is the formula for the volume of a sphere?

Back

The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.

Front

What is the volume of a sphere with a radius of 5 m?

Back

Using the formula V = (4/3)πr³, the volume is V = (4/3)π(5)³ = 523.6 m³.

Front

What is the formula for the volume of a cone?

Back

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

Front

Calculate the volume of a cone with a radius of 3 cm and a height of 6 cm.

Back

Using the formula V = (1/3)πr²h, the volume is V = (1/3)π(3)²(6) = 56.5 cm³.

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 of the base and h is the height.

Front

Calculate the volume of a cylinder with a radius of 4 in and a height of 10 in.

Back

Using the formula V = πr²h, the volume is V = π(4)²(10) = 160π ≈ 502.65 in³.

Front

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

Back

The volume of a cone is one-third the volume of a cylinder with the same base and height.

Front

What is the value of π (pi) approximately?

Back

π (pi) is approximately 3.14.

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 8 cm?

Back

Using the formula V = πr²h, the volume is V = π(5)²(8) = 200π ≈ 628.32 cm³.

Front

What is the volume of a sphere with a diameter of 10 m?

Back

The radius is 5 m, so V = (4/3)π(5)³ = 523.6 m³.