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Master Surface Area of Cylinders: Formulas & Examples

PAT: Master Provincial Achievement Test Skills

Operations with Decimals

test

Adding and subtracting decimals

Subtracting Decimals — Data Table

Ordering Decimals — Data Table

Decimals – Word Problem

Adding Decimals

Subtracting Decimals

Multiplying decimals

Multiplying Decimals

Dividing decimals 

Dividing Decimals

Order of operations (BEDMAS)

Mixed Operations with Decimals

Mixed Operations

Identify the Order of Operations

Order of Operations — Word Problem

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Square Roots

Squares and square roots

Square Root of a Perfect Square

Estimating square roots

Rational Numbers

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Comparing and ordering rational numbers

Comparing decimal numbers

Comparing fractions

Solving problems with rational numbers in decimal form

Solving problems with rational numbers in fraction form

Operations with fractions

Determine square roots of rational numbers

Square roots of rational numbers

Powers and Exponents

Using exponents to describe numbers

Expanded powers

Exponent rules

Single Power Expressions

Dividing powers

Multiplying powers

Order of operations with exponents

Using exponents to solve problems

Introduction to Linear Relations

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Applications of linear relationships

Linear Relations

Representing patterns in linear relations

Represent Patterns in Linear Relations Equation Decimal

Represent Patterns in Linear Relations Equation Integer Start From 0

Represent Patterns in Linear Relations Equation Integer Start From 1

Represent Patterns in Linear Relations Equation Negative Decimal

Identify the Linear Equation

Reading linear relation graphs

Solving linear equations by graphing

Solving Linear Equations

Solving linear equations using multiplication and division

Two-step Linear Equations LHS

Two-step Linear Equations RHS

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations with variables on both sides

Model and solve one-step linear equations: ax = b, x/a = b

One-step Linear Equations

One Step Linear Equations — Word Problem

One-step equations

One-step Equations LHS

One-step Equations RHS

Model And Solve One Step Linear Equations Divide – Word Problem

Model And Solve One Step Linear Equations Multiply – Word Problem

Solving two-step linear equations using addition and subtraction: ax + b = c

Two-step Linear Equations

Solve Linear Equations Using Addition and Subtraction – Word Problem

Two-step Linear Equations — Word Problem

Solving two-step linear equations using multiplication and division: x/a + b = c

Solving two-step linear equations using distributive property: a(x + b) = c

Solve Linear Equations Using Distributive Property – Word Problem

Introduction to Polynomials

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

What is a polynomial?

Classifying Polynomials

Polynomial components

Operations with Polynomials

Adding and subtracting polynomials

Multiplying and dividing monomials 

Divide a monomial by a monomial

Multiply a monomial by a monomial

Multiplying polynomials by monomials

Multiply a polynomial by a monomial

Dividing polynomials by monomials

Circle Geometry

Angles in a circle

Chord properties 

Tangent properties

Surface Area of 3D Objects

Surface area of 3-dimensional shapes

Introduction to surface area of 3-dimensional shapes

Nets of 3-dimensional shapes

Surface area of prisms

Surface Area of Prisms Rectangle

Calculate the Surface Area

Surface area of cylinders

Scale Factors and Similarity

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Symmtery

Line symmetry

Rotational symmetry and transformations

Influencing factors in data collection

Data collection

Probability

Provincial Achievement Test

sample

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Intro

- Hi, welcome to this question right here. So we're going to find the surface area of the cylinder. Now there is an equation for this because what happened is if you unwrap the cylinder open, technically it looks like you have a circle on the top and followed by a rectangular piece in the middle. Another circle at the end. Because that's the top, bottom and that's the middle piece. So the equation for the surface area for your cylinder is actually the pi R square, this part here refers to the area of the circles. This one right here, but we have two identical circles here. So you just need to a two in the front. So the two pi R square will give you the area of the circles here and here. Now what about the one in the middle? The one in the middle, you add on top of that. The one in the middle happens to be a rectangle. Now we already know the height here is seven, because that is the height right there. So it's just going to be the height but it's going to multiply this side right here which is the length, but where's the length? Imagine if you wrap it around the circle, that wrapping around the circle is actually the circumference. So the length over here, I'll write that down, is actually just the circumference which is the C, and C equals to, the two pi R okay? So at the end, we're not taking the length times the width. It's actually the two pi R times the width. So I'm going to put down the two pi R right here, and I'm just going to times the height in this equation here. So literally this is the equation to calculate the surface area of any cylinder. Okay? 
So there you go. We're going to plug the numbers in. I got the two times the pi, times the radius. I was given the radius, it was three centimeters. I got to square that, plus the two pi times this three, and times the height which is seven. All you have to do is grab your calculator and just punch everything inside. We're going to get some decimals, but it's fine. Two times pi. So we have two times pi and times three squared, and plus two times the pi, times this three times 21, okay? Now we have 60 pi, okay? If you're looking for like the exact value of answers, this is the final answer for your-- like the exact numbers which is 60 pi, okay? But if you don't want it, you want some decimals, then it's going to get you the 188.50 centimeter square, and this is your final answer for this question. Thanks for watching.

As long as we have the diameter or <a href='[[glossary.html|{"keyword":"Radius of a Circle or Sphere"}]]'>radius</a> and the height of the cylinder, we are able to find its surface area in no time. The surface area of a cylinder is basically adding the surface are of a rectangle and two circles together. The most difficult part is to find the circumference of the circles, which is also one of the sides of the rectangle.

How to find the surface area of cylinders

Circles and circumference 

Areas and sectors of circles