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Serhud [2]
3 years ago
6

The top of a tower is a cone with a radius of 12 feet. The volume of the cone is 1,506.96 cubic feet. Which of these is the heig

ht of the top of the tower in feet? Round to the nearest tenth.
Mathematics
1 answer:
shepuryov [24]3 years ago
7 0

<span>the question does not have the options, but this does not limit its resolution
</span>
we know that
volume of the cone=(1/3)*pi*r²*h
where 
r is the radius of the cone
h is the height of the cone
r=12 ft
Volume=1506.96 ft³
h=?

clear the variable h
v=(1/3)*pi*r²*h-----> multiply by 3
3*v=pi*r²*h----> divided by (pi*r²)
h=3*v/(pi*r²)------> h=3*1506.96/(pi*12²)----> h=9.99 ft---> h=10 ft

the answer is
h=10 ft
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