the circumference of the base of a right circular cylinder is 132 cm and its height is 10 cm find curved surface area
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• Given
- Circumference of the base of a right circular cylinder = 132 cm
- Height = 10 cm
• To find
- Curved surface area
• Procedure
- We have the value of circumference of the base of a right circular cylinder. By substituting the value in its formula we will find the value of radius. After finding the value of radius we will substitute the given value in the formula of curved surface area.
• Formulae to be used -
- Circumference of a right circular cylinder = 2πr
- Curved surface area = πrh
• Solution
• Circumference of the base of a right circular cylinder = 132 cm
Circumference of a right circular cylinder ⇒ 2πr
where,
- r = radius
Substituting the given values,
⇒ 132 = 2 × 22/7 × r
⇒ r = 21
- Radius = 21 cm
• Radius = 21 cm
• Height = 10 cm
Curved surface area = πrh
Substituting the given values,
⇒ 22/7 × 21 × 10
⇒ 660 cm²
- Curved Surface area = 660 cm²
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