Volume (Cylinders, Cones, Spheres)

What is the formula for the volume of a sphere?

• @@V = rac{4}{3} ext{π}r^3@@

• @@V = ext{π}r^2h@@

• @@V = rac{1}{3} ext{π}r^3@@

• @@V = 2 ext{π}r@@

What is the formula for the volume of a cone?

• @@V = rac{1}{3} ext{Base Area} imes ext{Height} = rac{1}{3} ext{π}r^2h@@

• @@V = ext{Base Area} imes ext{Height}@@

• @@V = rac{1}{2} ext{Base Area} imes ext{Height}@@

• @@V = rac{4}{3} ext{π}r^3@@

What is the height of a cylinder if its volume is 60π cm³ and the radius is 3 cm?

• 5 cm

• 6 cm

• @@\frac{20}{3}@@ cm

• 8 cm

What is the approximate value of π (pi)?

• 3.14

• 2.71

• 3.00

• 3.50

What is the difference between surface area and volume?

• Surface area measures the total area that the surface of a 3D object occupies, while volume measures the amount of space inside the object.

• Surface area is the total volume of a 3D object, while volume is the area of its base.

• Surface area is the perimeter of a 3D object, while volume is the area of its sides.

• Surface area measures the weight of a 3D object, while volume measures its density.

What does 'r' represent in the formulas for volume of cylinders, cones, and spheres?

• The height of the cylinder or cone

• The diameter of the base

• The radius of the base of the cylinder or cone, or the radius of the sphere

• The circumference of the base

How do you calculate the volume of a sphere with a radius of 4 cm?

• @@rac{256}{3} ext{π} ext{ cm}^3@@

• @@rac{128}{3} ext{π} ext{ cm}^3@@

• @@rac{64}{3} ext{π} ext{ cm}^3@@

• @@rac{32}{3} ext{π} ext{ cm}^3@@

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

• The diameter of a circle is equal to the radius.

• The diameter of a circle is half the radius.

• The diameter of a circle is twice the radius: @@d = 2r@@.

• The diameter of a circle is the same as its circumference.

What units are used to measure volume?

• Cubic centimeters (cm³)

• Kilograms (kg)

• Meters (m)

• Seconds (s)

What is the volume of a cube with a side length of 5 cm?

• 125 cm³

• 100 cm³

• 150 cm³

• 75 cm³