General
General
Easy

Question

A manager purchased cones for ice cream. Find a formula for the length of the radius , in terms  of its volume V.

 

  1. bold italic r equals square root of fraction numerator 3 V over denominator pi h end fraction end root
  2. r equals square root of fraction numerator V over denominator pi h end fraction end root
  3. gamma equals square root of fraction numerator 3 V over denominator pi end fraction end root
  4. r equals square root of fraction numerator V over denominator 3 pi h end fraction end root

hintHint:

We are given that the man purchased cones for ice cream. We have to find expression for radius of the volume of cone.

The correct answer is: bold italic r equals square root of fraction numerator 3 V over denominator pi h end fraction end root


    The volume of the cone is  V equals 1 third pi r squared h
    Multiplying both the sides by 3. Then when divide both sides πr2.
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 3 V equals pi r squared h end cell row cell fraction numerator 3 V over denominator pi h end fraction equals r squared end cell row cell square root of fraction numerator 3 V over denominator pi h end fraction end root equals r end cell end table
    This is equation of radius of cone.

    For such questions, we should know the formula of cone.

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