Calculating Volume and Surface Area of Cylinders

This video tutorial covers solving problems related to cylinders, focusing on calculating volume and surface area. It begins with an introduction to the concepts, followed by detailed steps to find the volume and surface area of cylinders. The tutorial includes practice problems and a challenging word problem to reinforce learning. Key formulas such as the area of a circle and the surface area of a cylinder are explained, with practical examples provided for better understanding.

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

• pi * r * h

• 2 * pi * r * h

• pi * r^2 * h

• 2 * pi * r^2

If the radius of a cylinder is 7 meters and the height is 11 meters, what is the volume?

• 1692.46 meters cubed

• 1078 meters cubed

• 846.23 meters cubed

• 539 meters cubed

What is the correct unit for measuring the volume of a cylinder?

• Pi units

• Cubic units

• Linear units

• Square units

What components make up the surface area of a cylinder?

• Two rectangles and one circle

• One circle and two rectangles

• Two circles and one rectangle

• Three circles

Using a radius of 7 meters and a height of 11 meters, calculate the surface area of a cylinder in terms of pi.

• 354 pi meters squared

• 252 pi meters squared

• 98 pi meters squared

• 154 pi meters squared

What is the formula for the surface area of a cylinder?

• 2 * pi * r^2 + pi * r * h

• pi * r^2 + pi * r * h

• pi * r^2 + 2 * pi * r * h

• 2 * pi * r^2 + 2 * pi * r * h

Calculate the volume of a cylinder with a radius of 2 feet and height of 4 feet using pi as 3.14.

• 50.24 cubic feet

• 25.12 cubic feet

• 75.36 cubic feet

• 100.48 cubic feet

Calculate the surface area of a cylinder with a radius of 2 feet and height of 4 feet in terms of pi.

• 12 pi square feet

• 36 pi square feet

• 24 pi square feet

• 48 pi square feet

Given a cylinder's volume as 160 pi cubic inches and height as 10 inches, what is the radius?

• 2 inches

• 8 inches

• 6 inches

• 4 inches

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

• Multiply the volume by pi and divide by the height

• Divide the volume by pi and multiply by the height

• Multiply the volume by the height and take the square root

• Divide the volume by the height and take the square root