Question

A conical perfume bottle has a radius of 3.2 centimeters and a height of 3.9 centimeters.

Using 3.14 for pi, approximately how much perfume can the bottle hold?
A. 125.40 cubic centimeters
B. 50.94 cubic centimeters
C. 41.80 cubic centimeters
D. 152.83 cubic centimeters

Answer 1

For this case, we must find the volume of the perfume bottle, given by the volume of a cone.

`V = \frac {\pi * r ^ 2 * h} {3}`

Where:

r: It's the radio

h: It's the height

Substituting the values:

`V = \frac {3.14 * (3.2) ^ 2 * 3.9} {3}\\V = \frac {125.39904} {3}\\V = 41.79968 \ cubic \ centimeters`

Round off:

`V = 41.80 \ cubic \ centimeters`

Thus, the bottle contains 41.80 cubic centimeters of perfume

Answer:

Option C