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The slant height of a cone is increased by 10%. If the radius remains the same, the curved surface area is increased by - Mathematics

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प्रश्न

The slant height of a cone is increased by 10%. If the radius remains the same, the curved surface area is increased by

विकल्प

  • 10%

  • 12.1%

  •  20%

  • 21%

MCQ

उत्तर

The formula of the curved surface area of a cone with base radius ‘r’ and slant height ‘l’ is given as

Curved Surface Area = πrl

Now, it is said that the slant height has increased by 10%.So the new slant height is ‘1.1l

So, now

New Curved Surface Area = 1.1πrl

We see that the percentage increase of the Curved Surface Area is 10%

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 20: Surface Areas and Volume of A Right Circular Cone - Exercise 20.4 [पृष्ठ २५]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 20 Surface Areas and Volume of A Right Circular Cone
Exercise 20.4 | Q 13 | पृष्ठ २५

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