Surface Area and Volume of Cylinders

This video tutorial teaches how to find the total surface area of a cylinder. It begins with an introduction to the concept and then explains how to derive the formula for the total surface area by considering the areas of the top and bottom circles and the rectangle that forms the body of the cylinder. The formula is given as 2πr(r + h). An example problem is solved using this formula, with a cylinder of radius 3 cm and height 7 cm, resulting in a total surface area of 188.57 square centimeters. The video concludes with tips on remembering the formula and encourages viewers to subscribe for more math videos.

What is the first step in finding the total surface area of a cylinder?

• Find the diameter of the cylinder

• Identify the radius and height of the cylinder

• Measure the weight of the cylinder

• Calculate the volume of the cylinder

Which shapes make up the surface area of a cylinder?

• Two rectangles and a circle

• Two circles and a rectangle

• Three circles

• One circle and one rectangle

What is the formula for the area of a circle with radius R?

• πR²

• 2πR

• 2πR²

• πR

How do you calculate the area of the rectangle that forms the body of the cylinder?

• Width times circumference of the base

• Height times circumference of the base

• Height times diameter

• Length times width

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

• πR² + πRH

• 2πR² + 2πRH

• πR² + 2πRH

• 2πR² + πRH

In the example problem, what is the radius of the cylinder?

• 3 cm

• 10 cm

• 5 cm

• 7 cm

In the example problem, what is the height of the cylinder?

• 3 cm

• 7 cm

• 5 cm

• 10 cm

What is the value of π used in the example problem?

• 3.14

• 3.142

• 22/7

• 3.14159

What is the total surface area of the cylinder in the example problem?

• 200 square centimeters

• 188.57 square centimeters

• 150 square centimeters

• 175 square centimeters

What strategy is suggested if you forget the formula for the total surface area of a cylinder?

• Memorize the formula

• Use a different formula

• Break down the cylinder into two circles and a rectangle

• Use a calculator