mbockey01p8h5ob mbockey01p8h5ob
  • 09-05-2018
  • Mathematics
contestada

the volume of a cylinder is 1,692.46 in cubed. if the radius becomes three times as large, what will be the cylinder's volume?

Respuesta :

calculista
calculista calculista
  • 29-05-2018
we know that
original volume of a cylinder=pi*r²*h
volume=1692.46 in³
1692.46=pi*r²*h

if the radius becomes three times as large
so
r=3*r
new volume=pi*(3*r)
²*h----> 9*pi*r²*h
new volume=9*original volume
new volume=9*1692.46----> 15232.14 in³

the answer is
the new volume is 15232.14 in³
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