SOLUTION: please help me sole this problem: a cylinder has a volume of 12picm^3. if the radius was tripled but the height was only doubled, what would be the new volume of the cylinder?

Algebra ->  Volume -> SOLUTION: please help me sole this problem: a cylinder has a volume of 12picm^3. if the radius was tripled but the height was only doubled, what would be the new volume of the cylinder?       Log On


   

Question 941782: please help me sole this problem: a cylinder has a volume of 12picm^3. if the radius was tripled but the height was only doubled, what would be the new volume of the cylinder?
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
volume of the cylinder = ++12%2Api cm^3
formula : volume of the cylinder (v) =+pi%2Ar%5E2%2Ah
now radius becomes 3r , and height becomes 2h
hence substitute r=3r , h= 2h in the above formula
New Volume = +pi%2A%283r%29%5E2%2A%282h%29
= +pi%2A9r%5E2%2A2h
= 18%2Api%2Ar%5E2%2Ah
= 18* original volume
= +18%2A12%2Api
= 216%2Api
Result: 216%2Api