How to Calculate Cylinder Volume and Surface Area

How to Calculate Cylinder Volume and Surface Area

In this blog post, you learn how to find the volume and surface area of cylinders by using volume and surface area formula.

Related Topics

Step by step guide to calculating Cylinders volume and surface area

  • A cylinder is a solid geometric figure with straight parallel sides and a circular or oval cross section.
  • Volume of Cylinder Formula \(= π\) (radius)\(^2 × \) height, \( π = 3.14\)
  • The surface area of a cylinder \(=2πr^2+2πrh\)

Cylinder Volume and Surface Area – Example 1:

Find the volume and Surface area of the follow Cylinder.

Solution:

Use volume formula: Volume \(= π\) (radius)\(^2 × \) height,
Then: Volume \(=π(2)^2×8= 4π×8=32π\)
\(π=3.14\) then: Volume \(=32π=32 × 3.14 = 100.48\) cm\(^3 \)
Use surface area formula: Surface area \(=2πr^2+2πrh\)
Then: \(=2π(2)^2+2π(2)(8)=2π(4)+2π(16)=8π+32π=40π\)
\(π=3.14\) then: Surface area \(=40×3.14=125.6\) cm\(^2\)

Cylinder Volume and Surface Area – Example 2:

Find the volume and Surface area of the follow Cylinder.

Solution:

Use volume formula: Volume \(= π\) (radius)\(^2 × \) height,
Then: Volume \(=π(4)^2×6= π16×6=96π\)
\(π=3.14\) then: Volume \(=96π=301.44\) cm\(^3 \)
Use surface area formula: Surface area \(=2πr^2+2πrh\)
Then: \(=2π(4)^2+2π(4)(6)=2π(16)+2π(24)=32π+48π=80π\)
\(π=3.14\) then: Surface area \(=80×3.14=251.2\) cm\(^2\)

Exercises for Calculating Cylinder Volume and Surface Area

Find the volume of each Cylinder. Round your answer to the nearest tenth. \((\pi=3.14)\)

Download Cylinder Worksheet

  1. \(\color{blue}{75.36 \ m^3}\)
  2. \(\color{blue}{1,130.4 \ m^3}\)
  3. \(\color{blue}{1,808.64 \ m^3}\)

Related to "How to Calculate Cylinder Volume and Surface Area"

Top 10 Tips to Create a CBEST Math Study Plan
Top 10 Tips to Create a CBEST Math Study Plan
How is the CBEST Test Scored?
How is the CBEST Test Scored?
Top 10 Tips You MUST Know to Retake the PERT Math
Top 10 Tips You MUST Know to Retake the PERT Math
Top 10 Tips to Overcome PERT Math Anxiety
Top 10 Tips to Overcome PERT Math Anxiety
Top 10 Tips to Create a PERT Math Study Plan
Top 10 Tips to Create a PERT Math Study Plan
Top 10 Tips You MUST Know to Retake the ASTB-E Math
Top 10 Tips You MUST Know to Retake the ASTB-E Math
Top 10 Tips to Overcome ASTB Math Anxiety
Top 10 Tips to Overcome ASTB Math Anxiety
Full-Length PSAT 10 Math Practice Test-Answers and Explanations
Full-Length PSAT 10 Math Practice Test-Answers and Explanations
Full-Length PSAT 10 Math Practice Test
Full-Length PSAT 10 Math Practice Test
Top 10 Tips to Create an ASTB Math Study Plan
Top 10 Tips to Create an ASTB Math Study Plan

Leave a Reply

Your email address will not be published. Required fields are marked *

36% OFF

Download Instantly

X

How Does It Work?

Find Books

1. Find eBooks

Locate the eBook you wish to purchase by searching for the test or title.

add to cart

2. Add to Cart

Add the eBook to your cart.

checkout

3. Checkout

Complete the quick and easy checkout process.

download

4. Download

Immediately receive the download link and get the eBook in PDF format.

Why Buy eBook From Effortlessmath?

Save money

Save up to 70% compared to print

Instantly download

Instantly download and access your eBook

help environment

Help save the environment

Access

Lifetime access to your eBook

Test titles

Over 2,000 Test Prep titles available

Customers

Over 80,000 happy customers

Star

Over 10,000 reviews with an average rating of 4.5 out of 5

Support

24/7 support

Anywhere

Anytime, Anywhere Access

Find Your Test

Schools, tutoring centers, instructors, and parents can purchase Effortless Math eBooks individually or in bulk with a credit card or PayPal. Find out more…