Volume of Cylinders and Cones

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 difference between radius and diameter?

Back

The radius is half the diameter; the diameter is twice the radius.

Front

How do you calculate the volume of a cylinder with a radius of 5 cm and a height of 10 cm?

Back

Volume = π(5)²(10) = 250π ≈ 785.40 cm³.

Front

How do you calculate the volume of a cone with a radius of 3 in and a height of 9 in?

Back

Volume = (1/3)π(3)²(9) = 27π ≈ 84.82 in³.

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic inches (in³), and cubic meters (m³).

Front

If a cylinder has a volume of 1000 cm³ and a height of 10 cm, what is its radius?

Back

Using the formula V = πr²h, r = √(V/(πh)) = √(1000/(π*10)) ≈ 5.64 cm.

Front

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

Back

Volume = π(4)²(5) = 80π ≈ 251.33 m³.

Front

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

Back

Volume = (1/3)π(2)²(3) = (12/3)π = 4π ≈ 12.57 m³.

Front

How do you round the volume of a cone to the nearest integer?

Back

If the volume is 151.7 in³, round it to 152 in³.