Question

Answer only 3rd question

Answer 1

hii!!

here's ur answer

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

volume of the cylinder = 550cm³

therefore πr²h = 550cm³

==> 22/7 × 5x × 5x × 7x = 550cm³

==> 22 × 25x³ = 550cm³

==> 25x³ = 550/22

==> 25x³ = 25

==> x³ = 25/25

==> x³ = 1

==> x = ³√1

==> x = 1

therefore, 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

= 22 × 5 × 5

= 550cm³

hence verified

hope this helps..!

Answer 2

let the radius be 5y
height be 7y
v=22/7 × 5y× 5y ×7y
  = 22/7 × 25y × y ×7y
 = 22 × 25y×y×y ( 7 gets cancelled )
So, 22 × 25y×y×y =550
      y×y×y = 550 / 22×25
                  = 1
        y = 1
radius = 5×1 = 5 cm
height = 7×1 =  7 cm