Question

If a radius of a right circular cone is halved and its height is doubled, the volume will remain unchenged.

Answer 1

let the radius be r and and height be h
so the the volume is equal to 1/3πr²h
when Radius is halved and height is doubled
the the volume is equal to 1/3π(r/2)²×2h
=1/3πr²/4×2h
=1/3πr²/2×h
so the volume becomes half.

Answer 2

Answer:

let the radius be r and and height be h

so the the volume is equal to 1/3πr²h

when Radius is halved and height is doubled

the the volume is equal to 1/3π(r/2)²×2h

=1/3πr²/4×2h

=1/3πr²/2×h

so the volume becomes half.

@hopeless