A closed metallic cylindrical box is 1.5m high and it has a base whose. diameter is 70 cm. If the sheet of metal sheet costs 70rs per square m., find the cost of the meterial used in the box.
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Answered by
41
Solution:
Given:
A closed metallic cylindrical box is 1.5m high and it has a base whose. diameter is 70 cm. If the sheet of metal sheet costs 70rs per square m.
Find:
Find the cost of the meterial used in the box.
Step-by-step:
=> Height = 1.5 m
=> 1.5 × 100 = 150
=> Diameter = 2r
=> 40 = 2r
=> 70/2 = r
=> 35 = Radius
Quality of metal sheet:
=> J.S.A of cylinder.
=> J.S.A = 2π r(h + r)
=> 2 × 22/7 × 35 (150 + 35)
=> 22 × 2 × 5 (185)
=> 40, 700 cm²
=> T.S.A = 40, 700 cm²
=> 40700/160 × 100 = 4.07 m²
Cost of material: (7cm²)
=> 70 × 4.07
=> 254.9
Therefore, 254.9 is the cost of the meterial used in the box.
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Answered by
7
Answer:
Solution
=> Height = 1.5 m
=> 1.5 × 100 = 150
=> Diameter = 2r
=> 40 = 2r
=> 70/2 = r
=> 35 = radius
Quality of metal sheet:
=> J.S.A of Cylinders
=> J.S.A = 2nr(n+r)
=> 2 × 22/7 × 35 ( 150 + 35)
=> 22 × 2 × 5 (185)
=> 40,700 cm²
=> T.S.A = 40,700 cm²
=> 40700/160 × 100
=> 4.07m²
Cost of material:( 7 cm²)
=> 70 × 4.07
=> 254.9
Hence, 254.9 is the cost of the material used in the box.
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