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Maharashtra State BoardSSC (English Medium) 9th Standard

What will be the cost of making a closed cone of tin sheet having radius of base 6 m and slant height 8 m if the rate of making is Rs.10 per sq.m? π(π=227) - Geometry

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Question

What will be the cost of making a closed cone of tin sheet having radius of base 6 m and slant height 8 m if the rate of making is Rs.10 per sq.m? `(π = 22/7)`

Sum

Solution

Radius of the base of cone, r = 6 m

Slant height of the cone, l = 8 m

∴ Total surface area of the cone = πr(r + l)

= `22/7 xx 6 xx (6 + 8)`

= `22/7 xx 6 xx 14`

= 264 m2

Rate of making the cone of tin sheet = Rs 10/m2

∴ Total cost of making the cone of tin sheet

= Total surface area of the cone × Rate of making the cone of tin sheet

= 264 × 10

= Rs 2640

Thus, the cost of making the cone of tin sheet is Rs 2640.

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Chapter 9: Surface Area and Volume - Practice Set 9.2 [Page 119]

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Balbharati Geometry (Mathematics 2) [English] 9 Standard Maharashtra State Board
Chapter 9 Surface Area and Volume
Practice Set 9.2 | Q 4. | Page 119

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