2) The diameter of a circular base of a cylinder is 7 if volume is 770 cu.mm then find its height and total surface area..
Answers
Answer:
Height of cylinder is 20 m.
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
⟶ Radius = 7/2
⟶ Radius = 7/2⟶ Radius = 3.5
☆Volume of cylinder = πr²h
⇩Where,
☘r is radius of cylinder.
☘h is height of cylinder.
◇Put values :
⟶ 770 = πr²h
⟶ 770 = 22/7 × (3.5)² × h
⟶ 770 = 22/7 × 12.25 × h
⟶ 770 × 7 = 269.5 × h
⟶ 5390 = 269.5 × h
⟶ 5390/269.5 × h
⟶ h = 20
Thus,⇣
Height of cylinder is 20 m.
Now,⇣
We know,
Total surface area of cylinder = 2πr² + 2πrh
⟶ 2 × 22/7 × (3.5)² + 2 × 22/7 × 3.5 × 20
⟶ 44/7 × 12.25 + 44/7 × 70
⟶ 539/7 + 3080/7
⟶ 77 + 440
⟶ 517
Therefore,⟱
◆Total surface area of cylinder is 517 m².