A cylindrical tent has a conical top. Calculate the total cost of the canvas required to make the tent,if the cost of canvas is 50 per square metre. The base radius is 8m,height of the cone is 6m and total height is 20m.
Answers
Answer:
Rs 47,728
Step-by-step explanation:
Given A cylindrical tent has a conical top. Calculate the total cost of the canvas required to make the tent,if the cost of canvas is 50 per square metre. The base radius is 8m,height of the cone is 6m and total height is 20m
First we need to find the slant height.
l = √r^2 + h^2
= √8^2 + 6^2
= 10 m
curved surface area of cone = π r l
= 22/7 x 8 x 10
= 251.4 m^2
Curved surface area of cylinder = 2 π r h
= 2 x 22/7 x 8 x 14
= 704 m^2
Total curved surface area = curved surface area of cone + curved surface area of cylinder.
= 251.4 + 704 = 955.4 m^2
Cost of 1 sq mtr of canvas is Rs 50
So cost of 955.4 sq mtr of canvas = 955.4 x 50 = Rs 47,770