Question

the radius and height of a cylinder are in the ratio of 7:2 and the volume is 8316 cm cube. what is the surface area?

Answer 1

Answer:

3564 cm^2

Step-by-step explanation:

Given that radius and height of a cylinder are in the ratio 7:2

Hence radius / height =7/2

r=(7/2)h

We know that the volume of the cylinder =πr  

2

h

So,

8316=22/7×(7/2)h×(7/2)h×h

h^3   =216

h=6 cm

Therefore r=(7/2)×6=21 cm

We know that total surface area of cylinder =2πr(r+h)

So,

Total surface area =2×22/7×21(21+6)

Total surface area =3564 cm^2