Question

the radius of the height of a cylinder are in the ratio 5:7 and its curved surface area is 5500 sq.cm. Find it's radius and height?​

Answer 1

Answer:

radius= 25 cm

height = 35 cm

Step-by-step explanation:

let, radius be 5x

and height be 7x

to find----- radius and height

C.S.A = 2πrh

2πrh = 5500 sq.cm.

2 X 22/7 X 5x X 7x = 5500 sq.cm.

44 X 5x^2 = 5500 sq.cm.

5x^2= 5500cm^2/44

5x^2 = 125cm^2

x^2 = 125cm^2/5

x^2 = 25cm^2

x = √25 cm^2

x = 5 cm.....

radius = 5X5 = 25 cm

height = 7X5 = 35 cm

sure it'll help u....(＾3＾♪(＾3＾♪

Answer 2

Correct Question :

The radius and height of a cylinder are in the ratio 5:7 and its curved surface area is 5500 sq.cm. Find it's radius and height?

Given :

$\longmapsto\tt{Let\:Radius\:be=5x}$

$\longmapsto\tt{Let\:Height\:be=7x}$

Using Formula :

$\longmapsto\tt\boxed{C.S.A\:of\:Cylinder=2\pi{rh}}$

Putting Values :

$\longmapsto\tt{5500=2\times\dfrac{22}{7}\times{5x}\times{7x}}$

$\longmapsto\tt{5500\times{7}=44\times{{35x}^{2}}}$

$\longmapsto\tt{38500=44\times{{35x}^{2}}}$

$\longmapsto\tt{\cancel\dfrac{38500}{44}={35x}^{2}}$

$\longmapsto\tt{875=35{x}^{2}}$

$\longmapsto\tt{{x}^{2}=\cancel\dfrac{875}{35}}$

$\longmapsto\tt{x=\sqrt{25}}$

$\longmapsto\tt\bf{x=5}$

Value of x is 5 ...

Therefore :

$\longmapsto\tt{Radius\:of\:Cylinder=5(5)}$

$\longmapsto\tt\bf{25\:cm}$

$\longmapsto\tt{Height\:of\:Cylinder=7(5)}$

$\longmapsto\tt\bf{35\:cm}$