Question 2
2015
Statements:
Some tables are chair.
No cupboard is table.
Some chairs are cupboards.
Given below are three statements followed by four conclusions numbered 1,2,3 and 4. You have to take the given four statements to be true even if they seem to be a pasta de record
known facts. Which of the given conclusions logically follows from the four given statements, disregarding commonly known facts (Choose two solutions)
Conclusions:
1. Some chair are no tables.
II: All chairs are either table or cupboards.
III. Some chairs are table.
IV. All chairs are table.
Answers
Answer:
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{\large{\bold{\rm{\underline{Let's \; understand \; the \; question \; .1^{st}}}}}}
Let
′
sunderstandthequestion.1
st
★ This question says that we have to find the curved surface area of a cylinder and it is already given that it's base circumference is 36 cm and it's height is 4 cm. Means base circumference is in circular shape. Let's do it !..
{\large{\bold{\rm{\underline{Given \; that}}}}}
Giventhat
★ Base circumference of cylinder = 36 cm
★ Height of cylinder = 4 cm
{\large{\bold{\rm{\underline{To \; find}}}}}
Tofind
★ The curved surface area of a cylinder
{\large{\bold{\rm{\underline{Solution}}}}}
Solution
★ The curved surface area of a cylinder = 140.8 cm²
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{\large{\bold{\rm{\underline{Using \; concepts}}}}}
Usingconcepts
★ Formula to find circumference of the base that is in shape of circle.
★ Formula to find Curved Surface Area of cylinder.
{\large{\bold{\rm{\underline{Using \; formulas}}}}}
Usingformulas
★ C (circular in shape) = 2πr
★ CSA (cylinder) = 2πrh
{\large{\bold{\rm{\underline{Where,}}}}}
Where,
★ C denotes circumference
★ π is pronounced as pi
★ The value of π is 22/7 or 3.14
★ r denotes radius
★ CSA dentoes curved surface area
★ h denotes height
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{\large{\bold{\rm{\underline{Full \; Solution}}}}}
FullSolution
✠ Firstly let us find the radius of this cylinder..!
➙ C = 2πr
➙ 36 = 2(3.14)(r)
➙ 36 = 2 × 3.14 × r
➙ 36 = 6.28 × r
➙ 36/6.28 = r
➙ 5.8 = r
➙ r = 5.8 cm (approx)
{\frak{Henceforth, \: 5.8 \: cm \: is \: the \: radius}}Henceforth,5.8cmistheradius
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✠ Now let's find the CSA of cylinder..!
➙ CSA = 2πrh
➙ CSA = 2(3.14)(5.8)(4)
➙ CSA = 2 × 3.14 × 5.8 × 4
➙ CSA = 6.28 × 5.8 × 4
➙ CSA = 6.28 × 23.2
➙ CSA = 140.8 cm²
{\frak{Henceforth, \: 140.8 \: cm^{2} \: is \: the \: CSA}}Henceforth,140.8cm
2
istheCSA
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{\large{\bold{\rm{\underline{Additional \; information}}}}}
Additionalinformation
\; \; \; \; \; \; \;{\sf{\bold{\leadsto Volume \: of \: cylinder \: = \: \pi r^{2}h}}}⇝Volumeofcylinder=πr
2
h
\; \; \; \; \; \; \;{\sf{\bold{\leadsto Surface \: area \: of \: cylinder \: = \: 2 \pi rh + 2 \pi r^{2}}}}⇝Surfaceareaofcylinder=2πrh+2πr
2
\; \; \; \; \; \; \;{\sf{\bold{\leadsto Lateral \: area \: of \: cylinder \: = \: 2 \pi rh}}}⇝Lateralareaofcylinder=2πrh
\; \; \; \; \; \; \;{\sf{\bold{\leadsto Base \: area \: of \: cylinder \: = \: \pi r^{2}}}}⇝Baseareaofcylinder=πr
2
\; \; \; \; \; \; \;{\sf{\bold{\leadsto Height \: of \: cylinder \: = \: \dfrac{v}{\pi r^{2}}}}}⇝Heightofcylinder=
πr
2
v
\; \; \; \; \; \; \;{\sf{\bold{\leadsto Radius \: of \: cylinder \: = \:\sqrt \dfrac{v}{\pi h}}}}⇝Radiusofcylinder=
πh
v
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OPTION B is the correct answer