1. Volume of Cylinder

A cylinder is measured and found to be 27 m long and 33 m in diameter.
The volume of a cylinder is where R is the radius and L is the length.

Questions:

I used the volume formula: V = pi(R^2)(L).....Is this the correct formula for this question?

#1 What is the radius of the cylinder?

I found the radius to be 33/2. Is this correct?

#2 What is the volume of the cylinder in m^3?

I found the volume to be 23081.355 m^3...Is this correct?

How do I convert this volume to cm^2

2. Originally Posted by magentarita
A cylinder is measured and found to be 27 m long and 33 m in diameter.
The volume of a cylinder is where R is the radius and L is the length.

Questions:

I used the volume formula: V = pi(R^2)(L).....Is this the correct formula for this question?.......Yes

#1 What is the radius of the cylinder?

I found the radius to be 33/2. Is this correct?.......Yes

#2 What is the volume of the cylinder in m^3?

I found the volume to be 23081.355 m^3...Is this correct?.......nearly

How do I convert this volume to cm^2

1. You used $\displaystyle \pi = 3.14$. If you use the number $\displaystyle \pi$ a little bit more exact the volume would be $\displaystyle V = 23093.622\ m^3$

to #2:

$\displaystyle 1\ m^3 = 1\ m \cdot1\ m \cdot1\ m = 100\ cm \cdot100\ cm \cdot100\ cm = 1,000,000\ cm^3$

That means: Multiply the value of the volume by 1,000,000 to convert it into cm³.

3. Are you saying???

Originally Posted by earboth
1. You used $\displaystyle \pi = 3.14$. If you use the number $\displaystyle \pi$ a little bit more exact the volume would be $\displaystyle V = 23093.622\ m^3$

to #2:

$\displaystyle 1\ m^3 = 1\ m \cdot1\ m \cdot1\ m = 100\ cm \cdot100\ cm \cdot100\ cm = 1,000,000\ cm^3$

That means: Multiply the value of the volume by 1,000,000 to convert it into cm³.
Are you saying to multiply 1,000,000 by 23093.622 m^2 to convert to cm^3? Also, how did you get
23093.622 m^3 for the volume using 3.14 for pi? If you did not use 3.14 for pi, which value of pi did you use?

4. Originally Posted by magentarita
Are you saying to multiply 1,000,000 by 23093.622 m^2 to convert to cm^3?

Yes. I've made a tiny mistake: The coefficient which converts m³ into cm³ actually is: $\displaystyle 1,000,000\ \dfrac{cm^3}{m^3}$

Also, how did you get
23093.622 m^3 for the volume using 3.14 for pi? If you did not use 3.14 for pi, which value of pi did you use?
I used as many digits as my calculator uses: $\displaystyle \pi \approx 3.14159265359$ and then rounded the final result to 3 digits.

5. got it

Originally Posted by earboth
Yes. I've made a tiny mistake: The coefficient which converts m³ into cm³ actually is: $\displaystyle 1,000,000\ \dfrac{cm^3}{m^3}$

I used as many digits as my calculator uses: $\displaystyle \pi \approx 3.14159265359$ and then rounded the final result to 3 digits.
I got it now. Thanks.