Volume of a Cylinder: Using Radius and Height

The video tutorial explains how to calculate the volume of a right circular cylinder using its radius and height. It begins with a problem setup, asking viewers to find the volume given certain dimensions. The instructor explains the formula for volume, which is the area of the base times the height, and adapts it for a cylinder using πR² for the base area. The video guides viewers through identifying the radius and height from the given diameter and height, and then demonstrates the calculation step-by-step, leaving the answer in terms of π. The tutorial concludes with encouragement to continue learning math.

What is the main task given in the problem regarding the cylinder?

• To measure the height of the cylinder

• To calculate the circumference of the base

• To determine the volume of the cylinder in cubic inches

• To find the surface area of the cylinder

Which formula is used to calculate the volume of a cylinder?

• Volume = πR² * height

• Volume = 2πR * height

• Volume = πR² + height

• Volume = πD² * height

What is the area of the base of a right circular cylinder?

• πR

• πR²

• 2πR

• R²

If the diameter of a cylinder is 6 inches, what is the radius?

• 6 inches

• 9 inches

• 12 inches

• 3 inches

What is the final volume of the cylinder in terms of π?

• 36π cubic inches

• 54π cubic inches

• 81π cubic inches

• 27π cubic inches