Login

the slant height of a cone is increased by 10%. if the radius remians the same. then the curved surface area increased by ?

Let r = radius of the base of the cone 
Let l = slant height of the cone

Curved surface area of cone = π r lWhen the slant height of the cone is increased by 10% , thennew slant height of cone = l1 = l + 10% of l = l + l10 = 11l10Now, new radius of the cone, r1 = r   given New Curved surface area of cone = π r1 l1 = π r 11l10 = 1110π r l

increase in CSA of cone = new CSA - original CSA                                              = 1110πr l - πr l = π r l10increase% = increase in CSAoriginal CSA × 100% = π r l / 10π r l  ×100% = 10%

  • 11
View Full Answer
What are you looking for?