the ratio between the radiuds of the base & the height of the cylinder is 2:3 . if the volume of the cylinder is 12936 cm cube , find the radius of the base of the cylinder .

 

Asked by tushverma2004 | 30th Oct, 2019, 01:55: PM

Expert Answer:

 
Let the radius of the base is 2x and height of the cylinder is 3x.
 
begin mathsize 16px style Volume space of space straight a space Cylinder space equals space πr squared straight h
rightwards double arrow 12936 space equals space 22 over 7 cross times open parentheses 2 straight x close parentheses squared cross times 3 straight x
rightwards double arrow fraction numerator 12936 space cross times 7 space space over denominator 22 space cross times 12 end fraction equals space straight x cubed
rightwards double arrow straight x cubed space equals space 343
rightwards double arrow straight x space equals space 7 space cm
end style

Therefore, the radius of the base is 2x = 2(7) = 14 cm

Answered by Yasmeen Khan | 30th Oct, 2019, 02:17: PM