paid wages and rent rs.30000 (journal entry)
Answers
Explanation:
⠀⠀⠀⠀⠀⠀{\huge{\underbrace{\rm{Question}}}}
Question
A cylinder has a diameter of 20 cm . The area of the curved surface is 100 m square. Find the volume of the cylinder.
⠀⠀⠀⠀⠀⠀⠀{\huge{\underbrace{\rm{Answer}}}}
Answer
⠀⠀
Given:
⠀⠀
Diameter of the cylinder is 20 cm
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Area of the curved surface is 100 m²
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To find:
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Find the volume of the cylinder.
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Solution:
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Diameter of the cylinder = 20 cm
.°. Radius of the cylinder(r) = \sf{\dfrac{20}{2}}
2
20
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= \sf{\cancel{\dfrac{20}{2}}\:cm}
2
20
cm
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 10 cm
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the curved surface area of the cylinder = 100 m²
Let, the height of the cylinder is h cm
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We know that,
⠀⠀⠀\boxed{\bf{\pink{Curved\:surface\:area\:=2πrh}}}
Curvedsurfacearea=2πrh
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Where,
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r = radius of the cylinder
h = height of the cylinder
π = 22/7
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According to the question,
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⠀⠀⠀⠀⠀\sf{:\implies 2πrh=100}:⟹2πrh=100
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⠀⠀⠀⠀⠀\sf{:\implies 2×\dfrac{22}{7}×10×h=100}:⟹2×
7
22
×10×h=100 ⠀⠀
⠀⠀⠀⠀⠀\sf{:\implies h=\dfrac{100×7}{22×10×2}}:⟹h=
22×10×2
100×7
⠀⠀
⠀⠀⠀⠀⠀\sf{:\implies h=\dfrac{700}{440}}:⟹h=
440
700
⠀⠀
⠀⠀⠀⠀⠀\sf{:\implies h={\cancel{\dfrac{700}{440}}}}:⟹h=
440
700
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⠀⠀⠀⠀⠀\sf{:\implies h=\dfrac{35}{22}}:⟹h=
22
35
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⠀⠀⠀⠀⠀\boxed{\bf{\purple{:⟹\:h\:=1.6\:cm}}}
:⟹h=1.6cm
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.°. height of the cylinder is 1.6 cm
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We also know that,
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⠀⠀⠀\boxed{\bf{\pink{Volume\:of\:cylinder\:=πr^{2}h}}}
Volumeofcylinder=πr
2
h
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\sf{:\implies Volume\:of\:the\:cylinder=πr^{2}h}:⟹Volumeofthecylinder=πr
2
h
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\sf{:\implies Volume\:of\:the\:cylinder=\dfrac{22}{7}×(10)^{2}×1.6\:cm^{3}}:⟹Volumeofthecylinder=
7
22
×(10)
2
×1.6cm
3
⠀⠀
\sf{:\implies Volume\:of\:the\:cylinder=\dfrac{22}{7}×10×10×1.6\:cm^{3}}:⟹Volumeofthecylinder=
7
22
×10×10×1.6cm
3
⠀⠀
\sf{:\implies Volume\:of\:the\:cylinder=502.9\:cm^{3}}:⟹Volumeofthecylinder=502.9cm
3
⠀⠀
Therefore,
Volume of the cylinder is 502.9 cm³
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Answer:
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