Question

The total surface area of a solid right circular cylinder is 1540 cm2. If the height is four times the radius of the base, then find the height of the cylinder

Answer 1

radius= r
height = h

now
h= 4 x r
total surface area= 2πr(h+r)= 1540
2 x 22/7 x r (4r+r) = 1540
44/7 x 5r²= 1540
r²= 49
r=7

now h=4 x r
h= 4 x 7= 28

Answer 2

Answer:

Step-by-step explanation:

radius= r

height = h

now

h= 4 x r

total surface area= 2πr(h+r)= 1540

2 x 22/7 x r (4r+r) = 1540

44/7 x 5r²= 1540

r²= 49

r=7

now h=4 x r

h= 4 x 7= 28