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).

Verified Answer :

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

\(V=254.34 in^{3}\)