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Master Surface Area of Cylinders: Formulas & Examples

BC Grade 8 Math: Master Core Concepts & Skills

Square roots and cubic roots

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Square and square roots

Square Root of a Perfect Square

Estimating square roots

Prime factorization

Number properties: Prime or Composite

Number properties: Prime?

Prime factors – Word Problem

Cubic and cubic roots

Cubic and cube roots

Cube root of a perfect cube

Pythagorean Theorem

Pythagorean theorem

Using the pythagorean relationship

Applications of pythagorean theorem

Percents

Taxes, discounts, tips and more

Discounts — Word Problem

Taxes — Word Problem

Percentage - Applying a Discount Price– Word Problem

Percentage - Applying a Discount Percent – Word Problem

Percentage - Applying a Tax Total – Word Problem

Percentage - Applying a tax Percent – Word Problem

Simple interest

Simple Interest — Word Problem

Basic Concepts of Simple Interest – Word Problem

Borrowing Money for More Than One Year  – Word Problem

Investigate the Advantages of Borrowing Money  – Word Problem

Representing percents

Representing Percents

Representing Percents — Word Problem

Representing Percents Two Graphs – Word Problem

Percents, fractions, and decimals

Conversion — Decimal to Fraction

Conversion — Decimal to Percent

Conversion — Fraction to Decimal

Conversion — Fraction to Percent

Conversion — Percent to Decimal

Conversion — Percent to Fraction

Percents – Word Problem

Convert a Decimal to a Fraction

Convert a Decimal to a Percent

Convert a Fraction to a Decimal

Convert a Fraction to a Percent

Convert a Percent  to a Decimal

Convert a Percent to a Fraction

Percents Fractions And Decimals – Word Problem

Percent of a number

Percent of a Number

percent of a number – Word Problem

Percent of a Number  Fraction Percent

Percent of a Number Integer Percent 

Percent of a number number With Decimal Percent 

Percent of a Number  Three Digits Number Percent

Adding and multiplying percents

Add and Multiply Percents — Word Problem

Add and Multiply Percents – Word Problem

Fractions

Multiplying fractions and whole numbers

Multiply a fraction with a whole number

Multiplying Fractions — with whole numbers — 1 digit

Multiplying Fractions — with whole numbers — 2 digits

Application of Multiplying Fractions and Whole Numbers – Word Problems

Dividing fractions with whole numbers

Divide a fraction by a whole number

Divide a Fraction by a Whole Number

Divide a Fraction by a Whole Number Number RHS

Multiplying proper fractions

Multiply Proper Fractions — 1 Digit Fractions

Multiplying improper fractions and mixed fractions

Multiply Mixed Numbers

Dividing fractions and mixed numbers

Divide Fractions and Mixed Numbers – Word Problem

Dividing Mixed numbers

Dividing Mixed Numbers

Application of fraction operations

Fraction Operations

Cartesian Planes & Linear Relations

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Application of linear relationships

Cartesian plane

Cartesian Plane — Coordinates

Draw on coordinate planes

Linear Equations

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

Two-step Linear Equations LHS

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

Two-step Linear Equations RHS

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

Solve Linear Equations Using Distributive Property – Word Problem

Surface Area

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

Volume

Introduction to volume

Calculate the Volume

Volume of prisms

Find the volume

Volume of Prisms Calculate Area and Volume

Rectangular Prisms Table

Volume of Prisms — Word Problem

Volume of cylinders

Word problems relating volume of prisms and cylinders

Central Tendency

Median and Mode

Median and Mode Table

Median and Mode – Word Problem

Median of an even length list

Median of an odd length list

Mean

Mean Word Problems

Find the Mean

Application of Means

Probability

Determining probabilities using tree diagrams and tables

Probability of independent events

Probability of Venn diagrams

BC Grade 8 Math

sample

math

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Intro

<p>- 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?<br />
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.</p>


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

Nets of 3-dimensional shapes

Circles and circumference 

Areas and sectors of circles