Question

A conical perfume bottle has a radius of 3.9 centimeters and a height of 5.4 centimeters.

Using 3.14 for π, approximately how much perfume can the bottle hold?
A.
357.09 cubic centimeters
B.
85.97 cubic centimeters
C.
119.03 cubic centimeters
D.
257.90 cubic centimeters

Answer 1

Answer: Choice B

85.97 cubic centimeters

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Work Shown:

`V = (1)/(3)*\pi*r^2*h\\\\V = (1)/(3)*\pi*(3.9)^2*(5.4)\\\\V = (1)/(3)*(3.9)^2*(5.4)*\pi\\\\V = 27.378\pi\\\\V \approx 27.378*3.14\\\\V \approx 85.96692\\\\V \approx 85.97\\\\`

The units for the volume are cubic centimeters which we can write shorthand as
`\text{cm}^3` or as "cubic cm" or as "cc".

The volume 89.97 cubic cm is approximate since pi = 3.14 is approximate. Use more decimal digits of pi to get a more accurate volume.