During cultural programme, the organising committee …
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During cultural programme, the organising committee conducted a rangoli making competition using waste material. The rangoli was barricaded by use of hollow cones. The radius and slant height of a cone are in the ratio 4:7. If its curved surface area is 792cm2,find :
1)radius and slant height of thithe cone
2)write any value exhibited by the organising committee. (Take π=22/7)
Posted by Sadhna Kashyap 8 years, 9 months ago
- 2 answers
Rupender Singh 8 years, 9 months ago
r : l = 4 : 7
Let r = 4x
l = 7x
Curved Surface Area = 792
π r l = 792
\(22/7\) × 4x × 7x = 792
x2 = \(792/22 × 4\)
x = 3
radius = 4 × 3 = 12 cm
slant height = 7 × 3 = 21 cm
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Naveen Sharma 8 years, 9 months ago
Ans. Radius of Cone = 4x
Slant Height of Cone = 7x
Curved Surface Area of Cone = 792 cm2
We Know
\(CSA \space of \space Cone = \pi r l \)
\(=> 792 = {22\over 7 } \times 4x \times 7x \)
\(=> 4x^2 = 36 \)
\(=> x^2 = 9\)
\(=> x = 3 \)
i) Radius of Cone = \(4\times 3 = 12 cm\)
Slant Height of Cone = \(7\times 3 = 21 cm\)
ii) Enviornment Care, Creativity
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