Cylinder Volume and Radius Calculations

Adele Kumar explains how to calculate the volume of a cylinder, starting with the formula for volume as the area of the base times the height. Two examples are provided: one with a given radius and another with a given diameter. The video also covers converting the volume from cubic centimeters to liters, providing a practical application of the calculations.

What is the shape of the base of a cylinder?

• Square

• Rectangle

• Triangle

• Circle

Which formula represents the volume of a cylinder?

• Base area x height

• Base area - height

• Base area + height

• Base area / height

What is the area of the base of a cylinder with radius R?

• 2πR^2

• πR

• πR^2

• 2πR

If a cylinder has a radius of 4 cm and a height of 8 cm, what is its volume in terms of π?

• 64π cm³

• 128π cm³

• 256π cm³

• 32π cm³

What is the volume of a cylinder with a radius of 4 cm and height of 8 cm in decimal form?

• 201.1 cm³

• 402.1 cm³

• 50.25 cm³

• 100.5 cm³

How do you find the radius if the diameter of a cylinder is given?

• Multiply the diameter by 2

• Divide the diameter by 2

• Subtract 2 from the diameter

• Square the diameter

What is the radius of a cylinder if its diameter is 10 cm?

• 2.5 cm

• 10 cm

• 5 cm

• 15 cm

Calculate the volume of a cylinder with a diameter of 10 cm and height of 8 cm in terms of π.

• 50π cm³

• 200π cm³

• 150π cm³

• 100π cm³

What is the volume of a cylinder with a diameter of 10 cm and height of 8 cm in decimal form?

• 628.3 cm³

• 471.2 cm³

• 314.2 cm³

• 157.1 cm³

How many cubic centimeters are there in one liter?

• 1000 cm³

• 100 cm³

• 1500 cm³

• 500 cm³