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Dante bought a new graduated cylinder for his chemistry class. It holds 847 milliliters of liquid. If the cylinder has a radius of 5.5 cm, then how tall is the cylinder? (Note: 1 milliliter is equal to 1 cubic centimeter)

a. 28
b. 154
c. 23,716
d. 77

Respuesta :

calculista

Answer:

Option a) [tex]h=28\ cm[/tex]

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

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

we have

Note In this problem the volume is equal to [tex]847\pi\ ml[/tex] instead of [tex]847\ ml[/tex]

so

[tex]847\pi\ ml=847\pi\ cm^{3}[/tex]

[tex]r=5.5\ cm[/tex]

substitute in the formula and solve for h

[tex]847\pi=\pi(5.5)^{2}h[/tex]

simplify

[tex]847=(5.5)^{2}h[/tex]

[tex]h=847/(5.5)^{2}[/tex]

[tex]h=28\ cm[/tex]

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