Volume - Cone, Cylinder, Sphere

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 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 sphere?

Back

V = (4/3)πr³, where r is the radius.

Front

How do you approximate π for calculations?

Back

Use 3.14 as an approximation for π.

Front

What is the volume of a cone with a radius of 2 ft and a height of 3 ft?

Back

V = (1/3)π(2)²(3) = 12.56 ft³.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

V = π(3)²(5) = 141.3 cm³.

Front

What is the volume of a sphere with a radius of 4 mm?

Back

V = (4/3)π(4)³ = 268.08 mm³.

Front

If the radius of a cone is doubled, how does the volume change?

Back

The volume increases by a factor of 4.

Front

If the height of a cylinder is halved, how does the volume change?

Back

The volume is also halved.

Front

What is the volume of a cylinder with a radius of 2 ft and a height of 6 ft?

Back

V = π(2)²(6) = 24.00 ft³.