Math  Help

# Surface Area of Cylinder

## What is the surface area of a cylinder?

The surface area of a cylinder is the total area that the surface of the cylinder occupies. Think of a soda can. It has three surfaces: the top circle, the bottom circle, and the rectangle piece that creates the sides of the can. Therefore, add the areas of the two circles with the area of the rectangle to find the surface area.

## Equation of surface area of a cylinder

How do you calculate the area of a circle?

The area of a circle is:

How do you calculate the area of the rectangle?

The area of a rectangle is:

The length is the distance around the edge of the can, which would be the circumference of the cylinder’s base. Since the cylinder’s base is a circle,

The width is the height of the cylinder, h. Thus, the area of the rectangle is:

The equation for the surface area of a cylinder is

Note that the two variables are r, radius, and h, height.

## Example of surface area of a cylinder

Find the surface area of a cylinder that has a height of 5 centimeters and a radius of 3 meters.

## Practice Problems of surface area of a cylinder

1. Find the surface area of a cylinder that has a height of 6 meters and a radius of 3 centimeters.

2. Find the surface area of a cylinder that has a height of 3 centimeters and a radius of 3 kilometers.

## Take Home Pointsof surface area of a cylinder

• Equation for the surface area of a cylinder is

• Ensure that the units are correct

• Units are square

Tutoring to help you understand
surface area of cylinder
with Live explanations!
#1 Rated

## Private Tutoring

We can help your children to build their foundations and achieve success.
Inquiry:

### One on One Private Tutoring

Elementary School:

High School:

## Grade 11, 12 Math, Advanced Functions, Calculus, Chemistry, Biology, Physics. English.

Queen Elizabeth Academy’s Private Tutoring Program provides our students with one on one, personalized tutoring lessons that are based on a step by step, easy to understand methodology.

Sample: Physics 11 online live lesson
Semi private Actual lesson.

### Our Approach of Tutoring

At QEA, we focus on tutoring the students and build his or her foundation and understanding. Our tutoring approach facilitates independent thinking, so that our students can analyze the questions properly. Our tutors go through math and science lessons step by step, and make sure that you have a firm foundation before they move onto more complex math and science concepts.

1. Step by step explanation

For our science and math tutoring programs, we focus on providing step by step explanations during the tutoring session, facilitating the student’s understanding of the math and science concepts.

2. Building Foundations

Math and science are cumulative. Therefore, building a good foundation is important for the student’s long-term success. In our math and science tutoring, we focus on clarifying the student’s knowledge gaps to help them build a good foundation in math and science.

3. Organize Knowledge

Our tutors will categorize types of problems and organize knowledge making it easier for students to retain

Inquiry:
Meet our 25+ Teachers and Tutors
Diana J.
English Teacher
PhD candidate, English literature. York University. 6+ teachers of teaching experience. Teaching university level tutorials at York University.
Nikki V.
Math Teacher
Certified Teacher. Master degree in Education. Nikki has been QEA math teacher for 6 years and have over 1,000+ hours of teaching experience.
Angela K.
Chemistry and Biology Teacher
Master graduate in Science, University of Toronto Angela explains how we take an extra step during Covid 19 period, to support our students and ensure that they get a good foundation.
Ben T.
English Teacher
Teaches:  English grade 5 to 12

PhD Candidate, English literature

Writing Course Director, Guelph-Humber University

Laura C.
MD Candidate
Harvard University

Queen Elizabeth Advisor

Designed Learning Strategies for our courses.

John C.
Math Tutor and Science Tutor
Teaches:  Calculus, Advanced Functions, Physics

PhD Candidate, University of Toronto

Taught university math tutoring classes for 2+ years

Renuka R.
Math Tutor
Teaches:  Advanced Functions

1200+ hours of tutoring experience.  Specialized in making complex concepts easy to understand

Candy C.
Math Teacher
Teaches:  Calculus, Grade 9-12 Math

Certified Teacher, Mathematics.

6 years of university teaching experience as a TA

Aditya S.
Science Tutor
Teaches:  Chemistry, Math 9-12

Recipient of E.A. Robinson Medal.  Rank#1 in Science, University of Toronto

TA teaching first year university tutorial

and 27+ tutors each specializing in a subject area, grade and student’s need
Inquiry:
Google Rating
4.9
Thank you
Queen Elizabeth Academy!
Matt B.
a grade 12 student admitted to Laurier Business
Sebastian G.
a grade 12 student admitted to McGill University
Andrew G.
admitted to Western University

Paige M.
Admitted to Queen’s University student alumni of QEA enrolled in QEA Englsih 12 private credit course

Kristen C.
Admitted to University of Waterloo student alumni of QEA enrolled in QEA Englsih 12 private credit course
Yohan B.
Wilfrid Laurier BBA
Will O.
Queen’s Engineering
Mark J.
Western Ivey
Google Reviews
Queen Elizabeth Academy | Private Credit Courses
4.9
Find Queen Elizabeth
at your neighbourhood

*Note that Queen Elizabeth Academy offers in class learning at our Mississauga location, at Unit 5, 1020 Johnson’s Lane. The rest of the locations we offer credits online via Zoom (TM) with live teaching.

Tutoring in Etobicoke near me
Tutoring in Georgetown near me
Tutoring in Caledon near me
Tutoring in Newmarket & Aurora near me
Tutoring in Vaughan near me
Tutoring in Whitby near me
Tutoring in Cambridge near me
Queen Elizabeth Academy
(905) 257 9009
vwlee2008@gmail.com
Unit 5, 1020 Johnsons Lane, Mississauga