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14 votes
14 votes
Calculate the volume of liquid that would fill the bowl of the glass. SHOW ALL WORK!!

Calculate the volume of liquid that would fill the bowl of the glass. SHOW ALL WORK-example-1
User Hypnobrew
by
2.9k points

1 Answer

6 votes
6 votes

Answer:

  • 49.7 cm³

Explanation:

We need to find the volume of the cone with:

  • Diameter = 5 cm and
  • Slant height = 8 cm

First, find the height, using Pythagorean, where hypotenuse of the triangle is 8 cm and base is the radius = 5 cm/2 = 2.5 cm:


  • h = √(8^2-2.5^2) =√(57.75) =7.6 (rounded)

Find the volume of the cone:


  • V=\pi r^2h/3=3.14*2.5^2*7.6/3 = 49.7 (rounded)
User Xenethyl
by
3.1k points
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