Question

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

Answer 1

Step-by-step explanation:

let radius be 5x and height be 7x

formula=pie r square h

22/7×5x square×7x=550

22/7×25x×7x=550 (7 cancel)

175x=550/22

175x=25

x=25/175

x=1/7

5x=1/7x5=5/7

7x=7/7=1

Answer 2

Answer:

5cm

Step-by-step explanation:

Ratio: 5:7

Let the radius and height be 5x and 7x,

Volume = 550 cm^2

Volume =

\pi \: {r}^{2} hπr

2

h

= 22/7 × 5x ×5x ×7x = 550

=22× 25x^3 = 550

=550x^3=550

=x^3=1

=x= cube root of 1 = 1 cm

Radius= 5 ×1 =5 cm

Height= 7×1=7 cm

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