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The height of a cone is …

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The height of a cone is 30 cm. From its topside a small cone is cut by a plane parallel to its base. If volume of smaller cone is 1/27 of the given cone, then at what height it is cut from its base ?
  • 2 answers

Gaurav Seth 6 years, 11 months ago

 

 Given height of the cone = 30 cm Let the small cone is cut off at a height ‘h’ from the topLet the radius of big cone be r1 and small cone be r2. Volume of the big cone,    From the figure, ΔACD ~ ΔAOB [AA similarity criterion]  Thus at a height 20 cm above the base a small cone is cut

Anushka Jugran ? 6 years, 11 months ago

Answer is 20 cm.
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