shanta runs an industry in a shed which is in a shape of cuboid surmounted by a half cylinder. If the base of the shed is of dimension 7m×15m and height of the cuboidal portion is 8m find the volume of the air that the shed can hold.Further suppose the machinery in the shed occupies a total space of 300m³ and there are 20 workers, each whom occupy about 0.08m³ space on an average.Then how much air is in shed?
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volume of the air that the shed can hold =1,128.75 m³ and air in shed = 827.15 m³
Step-by-step explanation:
Volume of cuboid = 7 * 15 * 8 = 840 m²
Assuming Half cylinder Diameter = 7 m & Length of cylinder = 15 m
=> R = 7/2 m H = 15 m
Volume of Half cylinder = (1/2) π R²H
= (1/2) (22/7) (7/2)² * 15
= 288.75 m²
volume of the air that the shed can hold. = 840 + 288.75 = 1,128.75 m³
machinery in the shed occupies a total space of 300m³
20 workers occupy = 20 *0.08 = 1.6 m³
air in shed = 1,128.75 - 300 - 1.6 = 827.15 m³
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