Question

a cylindrical tent has a conical top with apex angle 60° if radius and height of cylindrical part are 7cm and 10cm find total cost of canvas required to make tent at the rate of rs 500 perm2​

Answer 1

Answer:

For cone

Base radius (r) = 8 m

Height (h) = 6m

therefore space space Slant space height space left parenthesis straight l right parenthesis space equals space square root of straight r squared plus straight h squared end root

space space space space space space space space space space space space space space space space space space space space space space space space space equals space square root of left parenthesis 8 right parenthesis squared plus left parenthesis 6 right parenthesis squared end root

= 10 m

∴ Curved surface area = πrl = π(8)(10) = 80π m2

For coneBase radius (r) = 8 mHeight (h) = 6m

= 10 m∴ Curved surface

For cylinder

Base radius (R) = 8 m Height (H) = 14 m

∴ Curved surface area = 2πRH = 2 ⋅ π ⋅ 8 ⋅ 14 = 224π m2 Total curved surface area = Curved surface area of the cone + Curved surface area of the cylinder

= 80π + 224π = 304π m2 = 304 x 3.14 m2 = 954.56 m2

∴ Cost of canvas = 954.56 x 50 = र 47728