Answer:
Part 1) [tex]LA=14.4\pi\ cm^2[/tex]
Part 2) [tex]V=14.4\pi\ cm^3[/tex]
Step-by-step explanation:
The complete question is
Find the lateral area and the volume of a cylinder with Diameter =4 cm, height= 3.6 cm
Part 1) Find the lateral area
we know that
The lateral area of a cylinder is equal to
[tex]LA=\pi Dh[/tex]
we have
[tex]D=4\ cm\\h=3.6\ cm[/tex]
substitute
[tex]LA=\pi (4)(3.6)\\LA=14.4\pi\ cm^2[/tex]
Part 2) Find the volume
The volume of a cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=4/2=2\ cm[/tex] ----> the radius is half the diameter
[tex]h=3.6\ cm[/tex]
substitute
[tex]V=\pi (2)^{2}(3.6)\\V=14.4 \pi\ cm^3[/tex]
