Find curved surface area and total surface area of cylinder whose volume is 1.54 m cube and radius of base is 70 cm
Answers
Given:-
- Volume of cylinder = 1.54 m³.
- Radius of base = 70 cm = 0.7m.
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To find:-
- Curved surface area and total surface area of cylinder?
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Solution:-
★ Formula used:-
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Height = 0.1 m
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Total surface area of Cylinder is 3.52m².
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Curved surface area of Cylinder is 0.44 m².
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Hence, total surface area of the cylinder is 3.52m² and the curved surface area of Cylinder is 0.44m².
Answer:
Given:-
Volume of cylinder = 1.54 m³.
Radius of base = 70 cm = 0.7m.
⠀
To find:-
Curved surface area and total surface area of cylinder?
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Solution:-
★ Formula used:-
\star{\boxed{\sf{\orange{Volume\: of\: cylinder = \pi r^2h}}}}⋆
Volumeofcylinder=πr
2
h
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\large{\tt{\longmapsto{1.54 = \pi (0.7)^2h}}}⟼1.54=π(0.7)
2
h
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\large{\tt{\longmapsto{1.54 = \dfrac{22}{7} \times 0.49 \times h}}}⟼1.54=
7
22
×0.49×h
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\large{\tt{\longmapsto{1.54 = 22 \times 0.7 \times h}}}⟼1.54=22×0.7×h
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\large{\tt{\longmapsto{1.54 = 15.4h}}}⟼1.54=15.4h
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\large{\tt{\longmapsto{h = \dfrac{1.54}{15.4}}}}⟼h=
15.4
1.54
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\large{\tt{\longmapsto{h = 0.1}}}⟼h=0.1
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Height = 0.1 m
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\boxed{\sf{\orange{TSA = 2 \pi r(h + r)}}}
TSA=2πr(h+r)
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\large{\tt{\longmapsto{TSA = 2 \times \dfrac{22}{7} \times 0.7 (0.1 + 0.7)}}}⟼TSA=2×
7
22
×0.7(0.1+0.7)
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\large{\tt{\longmapsto{TSA = 44 \times 0.1(0.8)}}}⟼TSA=44×0.1(0.8)
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\large{\tt{\longmapsto{TSA = 44 \times 0.08}}}⟼TSA=44×0.08
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\large{\tt{\longmapsto{TSA = 3.52}}}⟼TSA=3.52
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Total surface area of Cylinder is 3.52m².
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\boxed{\sf{\orange{CSA = 2 \pi rh}}}
CSA=2πrh
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\large{\tt{\longmapsto{CSA = 2 \dfrac{22}{7} \times 0.7 \times 0.1}}}⟼CSA=2
7
22
×0.7×0.1
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\large{\tt{\longmapsto{CSA = 44 \times 0.1 \times 0.1}}}⟼CSA=44×0.1×0.1
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\large{\tt{\longmapsto{CSA = 44 \times 0.01}}}⟼CSA=44×0.01
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\large{\tt{\longmapsto{CSA = 0.44}}}⟼CSA=0.44
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Curved surface area of Cylinder is 0.44 m².
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Hence, total surface area of the cylinder is 3.52m² and the curved surface area of Cylinder is 0.44m².