Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank).
There are several information's of immense importance already given in the question. Let us write them down first.
Diameter of the cylinder = 6 inches
Then
Radius of the cylinder = 3 inches.
Height of the cylinder = 3 radius
= 3 3
= 9 inches
Volume of the cylinder = (pi) (Radius)^2 Height
= 3.14 (3)^2 9
= 3.14 9 9
= 254.34 cubic inches
we know that
the volume of a cylinder is equal to
\(V=\pi r^{2} h\)
where
r is the radius of the cylinder
h is the height of the cylinder
in this problem
\(Diameter=6in\\ r=Diameter/2\\r=6/2\\r=3in\\ h=3r \\ h=3*3\\ h=9in\)
Substitute the values in the formula above
\(V=3.14* 3^{2}*9\)
\(V=254.34 in^{3}\)
therefore
the answer is
\(V=254.34 in^{3}\)