you are Rohit Verma living and 27 Gandhi nager panipat. write a letter to your youger brother who is a bookwarm presuding him to take part in games.
please guys come fast..........
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Answers
Explanation:
Answer:
Height of cylinder is 20 m.
Total surface area of cylinder is 517 m².
Step-by-step explanation:
Given :-
The Diameter of base of cylinder is 7 m.
Volume of cylinder of 770 m³.
To find :-
Height of cylinder.
Total surface area of cylinder.
Solution :-
Radius = Diameter/2
\longrightarrow⟶ Radius = 7/2
\longrightarrow⟶ Radius = 3.5
Volume of cylinder = πr²h
Where,
r is radius of cylinder.
h is height of cylinder.
Put values :
\longrightarrow⟶ 770 = πr²h
\longrightarrow⟶ 770 = 22/7 × (3.5)² × h
\longrightarrow⟶ 770 = 22/7 × 12.25 × h
\longrightarrow⟶ 770 × 7 = 269.5 × h
\longrightarrow⟶ 5390 = 269.5 × h
\longrightarrow⟶ 5390/269.5 × h
\longrightarrow⟶ h = 20
Thus,
Height of cylinder is 20 m.
Now,
We know,
Total surface area of cylinder = 2πr² + 2πrh
\longrightarrow⟶ 2 × 22/7 × (3.5)² + 2 × 22/7 × 3.5 × 20
\longrightarrow⟶ 44/7 × 12.25 + 44/7 × 70
\longrightarrow⟶ 539/7 + 3080/7
\longrightarrow⟶ 77 + 440
\longrightarrow⟶ 517
Therefore,
Total surface area of cylinder is 517 m².
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