carolmonts2999 carolmonts2999
  • 19-05-2018
  • Mathematics
contestada

Compare the volumes of a hemisphere nd a cone with congruent bases and equal heights

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calculista
calculista calculista
  • 29-05-2018
we know that
volume of a hemisphere=(1/2)*(4/3)*pi*r³----> (2/3)*pi*r³

volume of a cone=(1/3)*pi*r²*h
h=r
so
volume of a cone=(1/3)*pi*r²*r----> (1/3)*pi*r³

volume of a hemisphere/volume of a cone
= [(2/3)*pi*r³]/[(1/3)*pi*r³]
=(2/3)/(1/3)
=2
volume of a hemisphere=2*volume of a cone
the volume of the hemisphere is twice the volume of the cone
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