Question

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

Answer 1

Option a)
`h=28\ cm`

Explanation:

we know that

The volume of a cylinder is equal to

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

we have

Note In this problem the volume is equal to
`847\pi\ ml` instead of
`847\ ml`

so

`847\pi\ ml=847\pi\ cm^(3)`

`r=5.5\ cm`

substitute in the formula and solve for h

`847\pi=\pi(5.5)^(2)h`

simplify

`847=(5.5)^(2)h`

`h=847/(5.5)^(2)`

`h=28\ cm`