DashboardNewsSettingsHelp
Get Premium
Dashboard
Dashboard Sign out
McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
4. Volumes of Prisms and Cylinders
Continue to next subchapter

Exercise 35 Page 836

Use the formula for the volume of a cylinder.

About 12 762 720 cubic centimeters

Practice makes perfect

According to the specifications, the diameter of a column can be between 30 and 95 centimeters, and the height of the column is 500 centimeters.

We are asked to find the difference in volume between the largest and the smallest possible column. Let's use the formula for the volume of a cylinder.

Cylinder Smallest Largest
Radius r= 30 r= 95
Height h= 500 h= 500
Volume V=Ï€ r^2 h
\textcolor{darkorange}{V_\text{smallest}}=\pi({\color{#0000FF}{30}})^2({\color{#009600}{500}})=\textcolor{darkorange}{450\,000\pi} \textcolor{darkviolet}{V_\text{largest}}=\pi({\color{#0000FF}{95}})^2({\color{#009600}{500}})=\textcolor{darkviolet}{4\,512\,500\pi}

Now, let's find the difference \textcolor{darkviolet}{V_\text{largest}}-\textcolor{darkorange}{V_\text{smallest}}, and round it to the nearest cubic centimeter.

\textcolor{darkviolet}{V_\text{largest}}-\textcolor{darkorange}{V_\text{smallest}}
â–¼
Substitute values and evaluate
SubstituteII

\textcolor{darkviolet}{V_\text{largest}}={\color{#0000FF}{\textcolor{darkviolet}{4\,512\,500\pi}}}, \textcolor{darkorange}{V_\text{smallest}}={\color{#009600}{\textcolor{darkorange}{450\,000\pi}}}

4 512 500Ï€-450 000Ï€
SubTerms

Subtract terms

4 062 500Ï€
UseCalc

Use a calculator

12 762 720.15520853...
RoundInt

Round to nearest integer

12 762 720

Therefore, the difference is about 12 762 720 cubic centimeters.

Subchapter links expand_more
arrow_right Exercises p.834-838
1
Exercises 2 (Page 834)
Exercises 3 (Page 834)
Exercises 4 (Page 834)
Exercises 5 (Page 834)
Exercises 6 (Page 834)
Exercises 7 (Page 834)
Exercises 8 (Page 834)
Exercises 9 (Page 834)
Exercises 10 (Page 834)
Exercises 11 (Page 834)
Exercises 12 (Page 834)
Exercises 13 (Page 834)
Exercises 14 (Page 834)
Exercises 15 (Page 834)
Exercises 16 (Page 835)
Exercises 17 (Page 835)
Exercises 18 (Page 835)
Exercises 19 (Page 835)
Exercises 20 (Page 835)
Exercises 21 (Page 835)
Exercises 22 (Page 835)
Exercises 23 (Page 835)
Exercises 24 (Page 835)
Exercises 25 (Page 835)
Exercises 26 (Page 835)
Exercises 27 (Page 836)
Exercises 28 (Page 836)
Exercises 29 (Page 836)
Exercises 30 (Page 836)
Exercises 31 (Page 836)
Exercises 32 (Page 836)
Exercises 33 (Page 836)
Exercises 34 (Page 836)
Exercises 35 (Page 836)
Exercises 36 (Page 836)
Exercises 37 (Page 836)
Exercises 38 (Page 836)
Exercises 39 (Page 837)
Exercises 40 (Page 837)
Exercises 41 (Page 837)
Exercises 42 (Page 837)
Exercises 43 (Page 837)
Exercises 44 (Page 837)
Exercises 45 (Page 837)
Exercises 46 (Page 837)
Exercises 47 (Page 837)
Exercises 48 (Page 838)
Exercises 49 (Page 838)
Exercises 50 (Page 838)
Exercises 51 (Page 838)
Exercises 52 (Page 838)
Exercises 53 (Page 838)
Exercises 54 (Page 838)
Exercises 55 (Page 838)
Exercises 56 (Page 838)
Exercises 57 (Page 838)
Exercises 58 (Page 838)
Exercises 59 (Page 838)
Exercises 60 (Page 838)
Exercises 61 (Page 838)
Exercises 62 (Page 838)