Question

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

Answer 1

H = 4r ( given) TSA = 1540 PIE r ( r+ h) = 1540 Pie r ( r + 4r ) = 1540 Pie r ( 5r ) = 1540 Pie 5r^2 =1540 22/7×5r^2 =1540 110r^2/7= 1540 r^2= 1540×7/22 r^2 = 49 r= 7 H=4 H= 4×7 = 28

Answer 2

total surface area of cylinder = 2πr(r+h) = 1540
h = 4r
TSA = 2πr(r+4r)
TSA = 2πr(5r)
TSA = 10πr²
10πr² =1540
πr² =154
r² = 49
r = 7
h = 4r
h = 4 * 7
h = 28