Question

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?

Answer 1

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