Sum
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 ?
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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` x 6 x ( 6 + 8 ) = `22/7` x 6 x 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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