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A cone has a volume of 1,440\pi cubic centimeters and a height of 30 centimeters. What is the diameter of the cone's base?
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A cone has a volume of 1,440\pi cubic centimeters and a height of 30 centimeters. What is the diameter of the cone's base?

User Jmkg
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1 Answer

3 votes
we know that
[volume of a cone]=pi*r²*h/3
h=30 cm
volume=1440*pi cm³
r²=3*volume/[pi*h]------> r²=3*1440*pi/[30*pi]----> r²=144-------> r=√144
r=12 cm
so
the diameter=2*r------> 2*12-----> 24 cm

the answer is
the diameter of the cone's base is 24 cm
User Ewe Tek Min
by
7.5k points
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