Volume of Cylinders, Cones & Spheres

Volume of 3-D Figures Break Out!

Complete each task to gain a part of the code in order to complete this break out game!

GO!

01 Quiz

Introduction

02 Find!

Index

Collect all the numbers by completing each of the challenges, and enter them in order in the final section to finish the game.

04 Follow the series

03 Correct image

Reward

INTRODUCTION

You will use the following Volume Formulas:

QUIZ

Complete the following quiz, and getthe first number towards your reward!

start

QUIZ

question 1/5

If the diamter of a circle is 15 inches, what is the radius?

30 inches

5 inches

7.5 inches

QUIZ

RIGHT!

Explanation: A radius is 1/2 of the diamter. 1/2 of 15 = 7.5

next

QUIZ

question 2/5

Calculate the volume of a cylinder with a radius of 6 and a height of 8.

48π

384π

288π

QUIZ

RIGHT!

Explanation: Volume = πr²h = π (6)² (8) = π (36)(8) = 288π

NEXT

QUIZ

QUESTION 3/5

Find the volume of a cone with a radius of 3 and a height of 11.

33π

121π

99π

QUIZ

RIGHT!

Explanation:Volume = 1/3 π r²h= 1/3 π (3²)(11) = 1/3 π (9)(11) = 33π

NEXT

QUIZ

QUESTION 4/5

What is the volume of a sphere with a radius of 6?

48π

72π

288π

QUIZ

RIGHT!

Volume = 4/3 π r³ = 4/3 π (6)³ = 4/3 π (216) 288 π

NEXT

QUIZ

QUESTION 5/5

If the radius is the same for all figures and the radius = height , which would have the bigger volume?

Cone

Sphere

Cylinder

QUIZ

RIGHT!

Explanation:A cone is 1/3 the volume of a cylinder of the same height and radius. A sphere is 4/3 the size of the cylinder with the same radius (and where r= h)......so the sphere is bigger!

NEXT

QUIZ

ERROR!

Wrong!Oh no! Incorrect answer, please try again.

TRY AGAIN

FIND!

From among all the statements you discover,click only on the correct ones

START

CLICK ONLY ON THE CORRECT STATEMENT 1/3

Volume of a Cylinder = πrh

You can drag the light to search through the darkness

Volume of a Cylinder = πr²h

Volume of a Cylinder = πr³h

Volume of a Cylinder = 1/3πr²h

CLICK ONLY ON THE CORRECT STATEMENT 2/3

Volume of a Cone = 1/3πr³h

Volume of a Cone = 1/3πr²h

You can drag the light to search through the darkness

Volume of a Cone = 4/3πr³

RIGHT!

Volume of a Cone = πr²h

Volume of a Cone = 4/3πr²h

CLICK ONLY ON THE CORRECT STATEMENT 3/3

Volume of Sphere = πr³h

Volume of Sphere = 4/3 πr³

You can drag the light to search through the darkness

RIGHT!

Volume of Sphere = 4/3πr³h

Volume of Sphere = 4/3πr²h

Volume of Sphere = 1/3πr²h

ERROR!

Wrong! That statement is incorrect

TRY AGAIN

CORRECT IMAGE

Choose the correct image

start

Which shape has the BIGGER VOLUME?

Which figure has the BIGGER VOLUME?

RIGHT!

Which figure has a bigger volume?

RIGHT!

Which figure has the bigger Volume?

RIGHT!

Which found the volume of the following sphere correctly?

RIGHT!

ERROR!

TRY AGAIN

serieS

Let's take a brain break from Volume! Choose the correct shape in the series

START

WHAT SHAPE GOES NEXT?

Choose the correct shape:

Option 04

Option 06

Option 02

Option 03

Option 01

Option 05

WHAT SHAPE GOES NEXT?

RIGHT!

Choose the correct shape:

Option 03

Option 04

Option 02

Option 05

Option 01

Option 06

WHAT SHAPE GOES NEXT?

RIGHT!

Choose the correct shape:

Option 05

Option 02

Option 01

Option 03

Option 04

Option 06

ERROR!

ERROR!

Wrong! Oh, no... Please go back and try again!

TRY AGAIN

GREAT!

THE FIRST NUMBER IS:

BACK TO INDEX

GREAT!

THE SECOND NUMBER IS:

BACK TO INDEX

GREAT!

THE THIRD NUMBER IS:

BACK TO INDEX

GREAT!

THE FOURTH NUMBER IS:

BACK TO INDEX

You have reached the last step... Enter the password!

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