Question

Calculate the plane surfaces (area of base and top) and total surface area of a cylinder having the curved surface area 308 cm² and the sum of radius and height 14 cm.​

Answer 1

Answer:

308cm^2

Step-by-step explanation:

308 = CSA

CSA = TSA -area of plane surfaces

308 = 2πr(h+r) - 2π$r^{2}$

154*7/22 = r*14-$r^{2}$

r^2 - 14r + 49 = 0

(r-7)^2 = 0

r = 7

area of plane surfaces = 2πr^2 = 2*22*49/7 = 44*7 = 308cm^2