deepa runs an industry in a shed which is in the shape of a cuboid surmounted by a half cylinder. the base of the shed is of dimensions 7m multiply 15m and the height of the cuboid portion is8 m. 1 no find the vol me of air that the shed can hold. 2no suppose the machinery in the shed occupies a total space of 300 m Square and there are 20 workers, each of whom occupy about 0.08 m cube space on an average. then, how much air is in the shed? 3 no find the internal surface area of the shed, exchange the floor.
Answers
Given : deepa runs an industry in a shed which is in the shape of a cuboid surmounted by a half cylinder. the base of the shed is of dimensions 7 m multiply 15 m and the height of the cuboid portion is 8 m
To Find : 1. find the vol me of air that the shed can hold.
2. suppose the machinery in the shed occupies a total space of 300 m³ there are 20 workers, each of whom occupy about 0.08 m³ space on an average. then, how much air is in the shed?
3. find the internal surface area of the shed, excluding the floor.
Solution:
Volume of Cuboid = length * breadth * Height
7 * 15 * 8
= 840 m²
Volume of half cylinder = (1/2) πr²h
Taking 7 as Diameter , r = 3.5
h = 15
π = 22/7
= (1/2)(22/7)(7/2)² ( 15)
= 77 * 15/4
= 288.75 m²
Volume of air that the shed can hold = 840 + 288.75
= 1128.75 m²
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
internal surface area of the shed excluding floor
= 2 * (15 + 7) * 8 + (1/2)2πrh
= 352 + (22/7)(7/2)* 15
= 352 + 165
= 517 m²
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