Finding Missing Dimensions of Cylinders

This tutorial teaches how to find missing dimensions of a cylinder when given the volume and one other dimension, such as radius, height, diameter, or circumference. It covers the use of formulas, substitution of values, and solving equations for unknown variables. The video includes practice problems, advanced problem-solving techniques, and emphasizes the importance of using the correct formula and calculator operations. The tutorial concludes with a summary and additional practice questions.

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

• V = pi * r^2 * h

• V = pi * d^2 * h

• V = 2 * pi * r * h

• V = pi * r * h

If a cylinder's radius is 10 feet and height is 6 feet, what is the volume in terms of pi?

• 60 pi cubic feet

• 600 pi cubic feet

• 100 pi cubic feet

• 3600 pi cubic feet

How do you find the height of a cylinder if the volume and radius are known?

• Multiply the volume by the sum of pi and the radius

• Multiply the volume by the product of pi and the radius squared

• Divide the volume by the product of pi and the radius squared

• Divide the volume by the sum of pi and the radius squared

What is the radius of a cylinder if its volume is 54 pi inches cubed and the height is 6 inches?

• 3 inches

• 9 inches

• 6 inches

• 18 inches

If the diameter of a cylinder is 12 inches and the volume is 648 pi cubic inches, what is the height?

• 24 inches

• 36 inches

• 18 inches

• 12 inches

How do you find the radius of a cylinder if the volume and height are given?

• Square root of the volume divided by height

• Volume divided by the square of height

• Volume divided by pi and height

• Square root of the volume divided by pi and height

What is the height of a cylinder if its volume is 502.65 cubic feet and the radius is 4 feet?

• 10 feet

• 20 feet

• 5 feet

• 15 feet

If the circumference of a cylinder is 25.13 feet and the volume is 502.65 cubic feet, what is the height?

• 10 feet

• 25 feet

• 5 feet

• 15 feet

What is the formula for the circumference of a circle?

• C = pi * d

• C = 2 * pi * r

• C = 2 * r

• C = pi * r^2

How do you adjust the formula for finding the height of a cylinder when the volume is given in terms of pi?

• Multiply the volume by pi before dividing

• Cancel out pi from both sides of the equation

• Divide the volume by pi before solving

• You don't need to adjust the formula