A cylinder has a height of #4# feet and a diameter of #12# inches. What is the volume of the cylinder?
1 Answer
Before calculating the volume of this cylinder, we must either convert the diameter to feet or the height to inches. I'll do the latter, to avoid getting a very small number.
Recall that there are
Hence, the cylinder has a height of
Now, we can apply the formula for volume of a cylinder to effectuate our calculation. The formula in question is
However, we know our diameter but we don't know our radius. As you probably know, the diameter is linked to the radius b the formula
Note that this answer is in exact value. Rounded to two decimal places, the volume is
Practice exercises:
- Determine the volume of a cylinder whose base has a circumference of
#18pi" yd."# and whose height measures#27" ft."# .
Note:
•The formula for circumference of a circle is
•There are
Challenge Problem:
The volume of an industrial sized water cistern is
Hopefully this helps, and good luck!