Question

Dante bought a new graduated cylinder for his chemistry class. It holds 662.7 milliliters of liquid. If the cylinder has a radius of 4.7 cm, then how tall is the cylinder? (Note: 1 milliliter is equal to 1 cubic centimeter)
A.
141 cm
B.
19,881 cm
C.
30 cm
D.
70.5 cm

Answer 1

Given:

Dante bought a new graduated cylinder for his chemistry class.

Volume of the cylinder = 662.7π milliliters of liquid

Converting to cubic centimeter, we get;

Volume of the cylinder = 662.7π cm³

Radius of the cylinder = 4.7 cm

We need to determine the height of the cylinder.

Height of the cylinder:

The height of the cylinder can be determined using the formula,

$V=\pi r^2 h$

Substituting the values, we have;

$662.7 \pi=\pi (4.7)^2h$

$662.7 \pi=\pi (22.09)h$

Dividing both sides by 22.09π, we get;

$30=h$

Therefore, the height of the cylinder is 30 cm.

Hence, Option C is the correct answer.