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Find the a. volume and bsurface area of a can of juice. The height is 11.4 centimeters, and the radius of the base is 3 centimetersAssume the can is shaped exactly like a cylinder. Use 3.14 for Do not round,

Sagot :

a)

Volume of a cylinder is given by the formula:

[tex]V=\pi r^2h[/tex]

Where

V is the volume

r is the radius

h is the height

Given,

h = 11.4

r = 3

We can find the volume:

[tex]\begin{gathered} V=\pi r^2h \\ V=\pi(3)^2(11.4) \\ V=322.164 \end{gathered}[/tex]

b)

Surface area of a cylinder is:

[tex]SA=2\pi rh+2\pi r^2[/tex]

We substitute what we know and get our answer:

[tex]\begin{gathered} SA=2\pi rh+2\pi r^2 \\ SA=2\pi(3)(11.4)+2\pi(3)^2 \\ SA=68.4\pi+18\pi \\ SA=271.296 \end{gathered}[/tex]

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