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Capacity of metallic cylindrical vessel of height 1m , open from top ,15.4litres. at the rate of Rs 25 per 100cm square , find the cost of the metal sheet used in making it

Posted by Shreya Satnalika 4 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Yogita Ingle 4 years, 9 months ago

1000lt = 1 meter*3
15.4 lt = 0.0154 m*3
volume of cylindrical vessel = pi . r*2h
r = 0.07 m

surface area of cylindrical vessel open at the top = curved surface area of cylinder + area of base
= 2pi . r . h + pi . r²
= pi . r ( 2h + r )
= 22/7x0.07 ( 2x1 + 0.07 )
surface area = 0.4554 m²=4554cm²
cost of 100 cm² of metal sheet = Rs. 25
cost of 1 cm² of metal sheet = Rs. 25/100
cost of 4554 cm² of metal sheet
= Rs. 25 ×4554 / 100
= Rs. 1138.5

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