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frutty [35]
3 years ago
7

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

Mathematics
1 answer:
Cloud [144]3 years ago
3 0
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
<span>the volume of the hemisphere is twice the volume of the cone</span>
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Step-by-step explanation:

Part 1) If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the perimeter of the figure?

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If all dimensions are changed proportionally, then the new figure and the original figure are similar

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The area of the new figure must be equal to the area of the original figure multiplied by the scale factor squared

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