AP ICET 2019 Shift 2 Paper

Question : 108 of 200

Marks: +1, -0

If a cone of maximum volume is cut from a solid hemisphere of radius 8m, then the volume of that cone, in cubic meters, is

${128}/3 π$
${256}/3 π$
${215}/3 π$
${1024}/3 π$

Validate

Solution:

The maximum cone that can be cut from the solid hemisphere is when the radius and the height of the cone are equal to the radius of the solid hemisphere.
⇒ The volume of the cone

=1/3×π×8×8×8

=512/3π

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