A bucket made up of aluminium sheet is of height 20 cm and its upper and lower and are of radius 25 cm and 10 cm respectively find the cost of making the bucket if the aluminium sheet cost Rs 70 per 100 CM square (Use π = 3.14).
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Answer:
The total Cost of making the bucket is ₹ 2143.05 .
Step-by-step explanation:
SOLUTION :
Given :
Radius of top circular ends ,R = 25 cm
Radius of bottom circular end of bucket ,r = 10 cm
Height of the bucket (h) = 20 cm
Slant height of a frustum , l = √(R - r)² + h²
l = √(25 - 10)² + 20²
l = √15² + 20² = √225 + 400 = √625
l = 25 cm
Slant height of the bucket ,l =25 cm
Surface area of aluminium sheet used in making a bucket = π(R+ r)l + πr²
= π(25 + 10) 25 + π × 10²
= π× 35 × 25 + π × 100
= π(875 + 100)
= 975 π
= 975 × 3.14
Surface area of aluminium sheet used in making a bucket = 3,061.5 cm²
Cost of making the bucket is = 3,061.5 cm² × 70/100
= ₹ 2143.05
Hence, the total Cost of making the bucket is ₹ 2143.05 .
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Step-by-step explanation:
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