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A conical perfume bottle has a radius of 3.4 centimeters and a height of 4.8 centimeters . Using 3.14 for pi, approximately how much perfume can the bottle hold ?

User Sven Bauer
by
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2 Answers

3 votes

Answer:


V \approx 58.107\,cm^(3)

Explanation:

The volume of a cone is:


V = (1)/(3)\pi\cdot r^(2)\cdot h

Where:


r - Radius, in centimeters.


h - Height, in centimeters.

The volume of liquid that bottle can hold is:


V = (1)/(3)\pi \cdot (3.4\,in)^(2)\cdot (4.8\,cm)


V \approx 58.107\,cm^(3)

User Toothygoose
by
5.1k points
3 votes

Answer:

58.077 cubic cm

Explanation:

Given that:

  • height : 4.8 cm
  • radius: 3.4 cm

As we know that, the volume of a conical perfume bottle is as following:

V = (1/3) * π * r² * h

So perfume can the bottle hold is:

V = (1/3) * 3.14 * 3.4² * 4.8 = 58.077 cubic cm

Hope it will find you well

User Ikdemm
by
4.5k points