ACT SAT Prep learn how to determine the missing height of two equivalent volumes for cylinders

The video tutorial explains how to solve a problem involving two cylinders with different diameters. It covers understanding the basic properties of cylinders, calculating their volumes, and determining the height of one cylinder when both have equal volumes. The tutorial emphasizes the importance of drawing diagrams and using the formula for the volume of a cylinder, πr²h, to solve the problem. The process involves simplifying equations to find the unknown height.

What is the first step suggested to understand the problem of finding the height of two cylinders with equal volumes?

• Draw a diagram

• Calculate the volume directly

• Memorize the formula

• Ignore the diameters

What does the capital B represent in the formula for the volume of a cylinder?

• The area of the base

• The height of the cylinder

• The circumference of the base

• The diameter of the base

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

• r^2 * h

• πr^2 * h

• 2πr + h

• πr^2 + h

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

• 6 inches

• 3 inches

• 12 inches

• 9 inches

What is the final step in solving for the height of the smaller cylinder?

• Divide the volumes

• Simplify the equation

• Add the radii

• Multiply the diameters