The height of a right circular cylinder is three times the radius of the base. If the height were four times the radius, the volume would be 1078 cc more than it was previously. Find the radius of the base.
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let the radius of the base be r.
show the height of the right circular cylinder will be 3r
so the volume will be πr²×3r
=3πr³
when the height is 4 times the radius
the volume will be πr²h
πr²×4r
4πr³
also
4πr³-3πr³=1078
πr³=1078
r³=1078×7/22
r³=49×7
r=7
so the radius off the base is 7 cm
show the height of the right circular cylinder will be 3r
so the volume will be πr²×3r
=3πr³
when the height is 4 times the radius
the volume will be πr²h
πr²×4r
4πr³
also
4πr³-3πr³=1078
πr³=1078
r³=1078×7/22
r³=49×7
r=7
so the radius off the base is 7 cm
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