Volume of cylinder, cone and sphere

Front

What is the formula for the volume of a cylinder?

Back

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

Front

What is the formula for the volume of a cone?

Back

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

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Front

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

Back

Volume = π(3)²(5) = 45π cm³.

Front

A cone has a radius of 2 in and a height of 6 in. What is its volume?

Back

Volume = (1/3)π(2)²(6) = 8π in³.

Front

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

Back

Volume = (4/3)π(5)³ = (500/3)π cm³ or approximately 523.3 cm³.

Front

How do you convert the diameter of a cylinder to radius?

Back

Radius = Diameter / 2.

Front

What is the volume of a cylinder with a diameter of 10 m and a height of 4 m?

Back

Volume = π(5)²(4) = 100π m³.

Front

If the radius of a cone is doubled, how does that affect its volume?

Back

The volume increases by a factor of 4, since volume is proportional to the square of the radius.

Front

What is the volume of a cone with a radius of 3 cm and a height of 9 cm?

Back

Volume = (1/3)π(3)²(9) = 27π cm³.