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

Answer:

Option a) $h=28\ cm$

Step-by-step 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

$847=(5.5)^{2}h$

$h=847/(5.5)^{2}$

$h=28\ cm$