1 Answer

Munge · Answer 1 · 2021-12-02T23:14:28+0000

Answer:

Part 1)
$LA=14.4\pi\ cm^2$

Part 2)
$V=14.4\pi\ cm^3$

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

$LA=\pi Dh$

we have

$D=4\ cm\\h=3.6\ cm$

substitute

$LA=\pi (4)(3.6)\\LA=14.4\pi\ cm^2$

Part 2) Find the volume

The volume of a cylinder is equal to

$V=\pi r^(2)h$

we have

$r=4/2=2\ cm$ ----> the radius is half the diameter

$h=3.6\ cm$

substitute

$V=\pi (2)^(2)(3.6)\\V=14.4 \pi\ cm^3$

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