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A joker’s cap is in the form of right circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 10 such caps. - Mathematics

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A joker’s cap is in the form of right circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 10 such caps.

`["Assume "pi=22/7]`

 

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Solution

Radius (r) of conical cap = 7 cm

Height (h) of conical cap = 24 cm

Slant height (l) of conical cap`= sqrt(r^2+h^2)`

`=[sqrt((7)^2+(24)^2)]cm=sqrt625cm=25cm`

CSA of 1 conical cap = πrl

`=(22/7xx7xx25)cm^2=550cm^2`

CSA of 10 such conical caps = (10 × 550) cm2 = 5500 cm2

Therefore, 5500 cm2 sheet will be required.

Concept: Surface Area of a Right Circular Cone
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APPEARS IN

NCERT Class 9 Maths
Chapter 13 Surface Area and Volumes
Exercise 13.3 | Q 7 | Page 221

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