Question

If a plant manufacturing carpet backing has a cylindrical tank that is 3 meters high and is 6 meters in diameter, what is the volume of the tank?

Answer 1

The formula for the volume of a cylinder is $\pi r^{2} h$

We know the diameter, so we can easily find the radius.  The diameter is twice as long as the radius, so we divide the diameter by 2 to find the radius.  This is equal to 6/2 = 3.  Now, we plug our numbers into the formula.

$\pi * 3^{2} *3= \pi *9*3=27 \pi m^{3}$

This could also be written: $84.82 m^{3}$

Both 27 pi cubic meters and 84.82 cubic meters are correct answers, so choose whichever one you think your teacher would prefer.

Answer 2

The formula of the volume of a cylinder is: V = PI (3.14) times radius squared times height, so...
V = PI times half of the diameter, which is 3, squared and times by 3 (the meters of height).
Now, V = PI times 9 times 3. PI (3.14) times 9 = 28.26 times 3 = 84.78.
So, the volume of the cylindrical tank is 84.78 meters cubed (volume is always cubed).