The diameter of a cylinder is 14 cm and curved surface area is 220cm square .the volume of the cylinder is
Answers
Given date :
- The diameter of a cylinder is 14 cm.
- Curved surface area of cylinder is 220 cm².
To find : The volume of the cylinder ?
Solution :
Now,
→ Diameter = 2 * Radius
→ Radius = Diameter/2
{according to given}
→ Radius = 14/2
→ Radius = 7 cm
Now, by formula of curved surface area of cylinder.
→ curved surface area = 2 * π * r * h
[ Where,
- π = 22/7
- r = radius
- h = height ]
{now, according to given}
→ 220 = 2 * 22/7 * 7 * h
→ 220 = 2 * 22 * h
→ 220 = 44 * h i.e.
→ h = 220/44
→ h = 5 cm
Now, by formula of volume of cylinder
→ volume of cylinder = π * r² * h
→ volume of cylinder = 22/7 * ( 7 )² * 5
→ volume of cylinder = 22/7 * 49 * 5
→ volume of cylinder = 22 * 7 * 5
→ volume of cylinder = 22 * 35
→ volume of cylinder = 770 cm³
Answer : Hence, the volume of the cylinder is 770 cm³.
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