I.A cylindrical tent has a conical top with
dimensions as shown in the figure. Calculate the
total cost of the canvas required to make the tent,
if the cost of canvas is 50/per sq. m.
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nishantietech6176
18.01.2019
Math
Secondary School
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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.
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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
Answer:
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