Volume of Cylinders, Spheres, 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 of the base and h is the height.

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.

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

If a cylinder has a radius of 3 inches and a height of 5 inches, what is its volume?

Back

V = π(3)²(5) = 45π ≈ 141.37 cubic inches.

Front

How do you calculate the volume of a sphere with a radius of 7 inches?

Back

V = (4/3)π(7)³ = (4/3)π(343) ≈ 1436.76 cubic inches.

Front

What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

V = (1/3)π(4)²(9) = 48π ≈ 150.8 cubic centimeters.

Front

What is the approximate value of π used in volume calculations?

Back

The approximate value of π is 3.14.

Front

How do you round the volume of a sphere to the nearest tenth?

Back

To round to the nearest tenth, look at the hundredths place. If it's 5 or more, round up.

Front

What is the volume of a sphere with a radius of 11 inches?

Back

V = (4/3)π(11)³ = (4/3)π(1331) ≈ 5575.28 cubic inches.

Front

If a cone can hold 58.29 cm³ of ice cream, what does this represent?

Back

This represents the volume of the cone, which is the amount of space inside it.