Volume of a Cylinder
Volume of the cylinder is 28.26 in³
Step-by-step explanation:
Cylinder is defined as a three dimensional geometric figure with straight parallel sides and a circular or oval cross section.
The volume of the cylinder is defined as [tex]\\\pi r^{2} h[/tex]
where r is radius of the base of the cylinder and h is the height of the cylinder
V = [tex]\\\pi r^{2} h[/tex]
Given diameter d = 6 in
So the radius r = [tex]\frac{d}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3 in
Given the height is three times the radius
so the height h = [tex]\frac{r}{3}[/tex] = [tex]\frac{3}{3}[/tex] = 1 in
so h = 1 in
V = 3.14 × 3² × 1
= 3.14 × 9
= 28.26 in³
Hence the Volume of the cylinder is 28.26 in³
