Question

the radius and height of cylinder are in ratio are in ratio 4 ratio 7 find the radius and height if its volume is 1188

Answer 1

r:h = 4:7 is given it means r/h=4/7
therefore r= 4h/7 and h= 7r/4
volume of cylinder is 22/7*r*r**h.
substituting h value as 7r/4 we get
volume as 11/2*r*r*r equating it with 1188
we get r=6
now we know h=7r/4 so h=10.5

Answer 2

hii!!

here's ur answer...

let the radius of the cylinder be 4x and height be 7x.

volume of the cylinder = 1188cm³

therefore πr²h = 1188cm³

=> 22/7×4x×4x×7x = 1188cm³

=> 22×4x×4x×x = 1188cm³

=> 352x³ = 1188cm³

=> x³ = 1188/352

=> x³ = 3.375

=> x = ³√3.375

=> x = 1.5cm

hence, radius of the cylinder = 4x

= 4×1.5

= 6cm

height of the cylinder = 7x

= 7×1.5

= 10.5cm

VERIFICATION:-

volume of the cylinder = πr²h

= 22/7×6×6×10.5

= 8316/7

= 1188cm³

hence verified

hope this helps u..!