Find the volume of a cylinder with a diameter of 16 mm and a height of 5.7 mm ?

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Answer 1 · 2018-02-05T20:31:23

See a solution process below:

The formula for the volume of a cylinder is:

#V_c = pir^2h#

Where

#r# is the radius of the cylinder. In this problem we are given the diameter so we must take half of this to find the radius:

#(16" mm")/2 = 8" mm"#

= #h# is the height of the cylinder. 5.7 mm for this problem.

Substituting and calculating #V_c# gives:

#V_c = pi * (8" mm")^2 * 5.7" mm"#

#V_c = pi * 64" mm"^2 * 5.7" mm"#

#V_c = pi * 364.8" mm"^3#

If we want to approximate #pi# with 3.14 we can give the answer as:

#V_c = 3.14 * 364.8"mm"^3#

#V_c = 1145.472" mm"^3#