Question

The radius and height of a cylinder are in the rario 5:7 and its volume is 550cm . find its radius and height

Answer 1

heya frnd!

here's ur answer...

given the radius and height are in ratio 5:7.

so the radius of the cylinder be 5x and height be 7x.

we know that the formula of finding volume is πr²h

therefore πr²h=550cm³

→22/7×5x×5x×7x=550cm³

→22/7×175x³=550cm³

→175x³=550/1×7/22

→175x³=175

→x³=175/175

→x³=1

→x=³√1

→x=1 (as we know if we multiply 1 by 1 it comes 1 only)

hence radius of the cylinder=5x

=5×1

=5cm

height of the cylinder=7x

=7×1

=7cm

verification:-

volume of the cylinder=πr²h

=22/7×5×5×7

=550cm³

hence verified

hope this helps u..!

Answer 2

hope it will help you