Prisms, Cylinders, and Spheres

Front

What is the formula for the volume of a sphere?

Back

The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.

Front

How do you calculate the radius of a sphere if you know the diameter?

Back

The radius of a sphere is half of the diameter. So, r = diameter / 2.

Front

What is the volume of a cylinder?

Back

The volume of a cylinder is given by the formula V = B x h, where B is the area of the base and h is the height.

Front

What is the area of the base of a cylinder with a radius of 5 cm?

Back

The area of the base (circle) is calculated using the formula B = πr². For r = 5 cm, B = π(5)² = 25π cm².

Front

What is the difference between volume and area?

Back

Volume measures the amount of space an object occupies (3D), while area measures the surface of a shape (2D).

Front

Which unit would NOT be appropriate for measuring volume?

Back

Square miles would NOT be appropriate for measuring volume; it is a unit of area.

Front

What does the 'B' represent in the volume formula V = B x h?

Back

The 'B' represents the area of the base of the solid.

Front

How do you convert millimeters cubed to centimeters cubed?

Back

To convert mm³ to cm³, divide the volume in mm³ by 1000, since 1 cm³ = 1000 mm³.

Front

What is the volume of a sphere with a radius of 10 cm?

Back

Using the formula V = (4/3)πr³, the volume is V = (4/3)π(10)³ = 4186.67 cm³.

Front

What is the volume of a cylinder with a height of 10 cm and a radius of 3 cm?

Back

The volume is V = B x h = π(3)²(10) = 90π cm³, approximately 282.74 cm³.