​The volume of a cylinder is 5500 cm³. If its curved surface area is 4400 sq.cm, then find its height.​

Correct option is D

Given: 

​The volume of a cylinder is 5500 cm³. If its curved surface area is 4400 sq.cm, 

Formula Used:  

Volume of the cylinder = $$\pi r^2 h$$ 

Curved surface area = $$2 \pi r h$$  

Solution: 

$$\pi r^2 h$$  = 5500  ........... (i)

$$2 \pi r h$$ = 4400 ..........(ii)

Divide equation (i) from equation (ii)

$$\frac{ \pi r^2 h }{2 \pi r h} = \frac{5500}{4400}$$  

r = $$\frac{5}{2}$$​

From equation (ii)

$$2 \pi r h$$ = 4400 ...

$$2 \times \frac{22}{7} \times \frac{5}{2} h$$  = 4400 

h = 280 cm