Volume of cylinders, Cones and Spheres

Front

What is the formula for the volume of a cylinder?

Back

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

Front

How do you find the radius of a cylinder when given the volume and height?

Back

Rearrange the volume formula: r = √(V / (πh)).

Front

What is the formula for the volume of a cone?

Back

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

Front

How do you find the height of a cone when given the volume and radius?

Back

Rearrange the volume formula: h = (3V) / (πr²).

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where V is the volume and r is the radius.

Front

How do you find the radius of a sphere when given the volume?

Back

Rearrange the volume formula: r = (3V / (4π))^(1/3).

Front

What units are used to measure volume?

Back

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

Front

What is the relationship between the radius and diameter of a cylinder?

Back

The diameter is twice the radius: d = 2r.

Front

How do you convert the volume of a cylinder from cubic inches to liters?

Back

Use the conversion factor: 1 in³ = 0.0163871 liters.

Front

What is the significance of rounding answers in volume calculations?

Back

Rounding is important for precision and to match the required format of the answer.