the diameters of lower and upper ends of a bucket in form of frustrum of cone are 10 cm and 30cm respectively of its height is 24cm
area of metal sheet used to make the bucket
why we should avoid the bucket made by ordinary plastic
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Given:
Diameter of upper end of bucket = 30 cm
Radius of the upper end of the frustum of cone, r1 = 15 cm
Diameter of lower end of bucket = 10 cm
Radius of the lower end of the frustum of cone, r2 = 5 cm
Height of the frustum of Cone, h = 24 cm
Slant height of bucket, L = √[(h² + (r1 - r2)²]
L = √[24² + (15 - 5)²]
L = √(576 + 10²)
L = 26 cm
Area of metal sheet = Curved Surface Area of bucket + area of lower end
= π(r1 + r2)L + πr2²
= 3.14(15 + 5) × 26 + π(5)²
= 3.14 × 20 × 26 + 25 × 3.14
= 1711.3 cm²
Hence, the Area of metal sheet used to make the bucket is 1711.3 cm².
Given:
Diameter of upper end of bucket = 30 cm
Radius of the upper end of the frustum of cone, r1 = 15 cm
Diameter of lower end of bucket = 10 cm
Radius of the lower end of the frustum of cone, r2 = 5 cm
Height of the frustum of Cone, h = 24 cm
Slant height of bucket, L = √[(h² + (r1 - r2)²]
L = √[24² + (15 - 5)²]
L = √(576 + 10²)
L = 26 cm
Area of metal sheet = Curved Surface Area of bucket + area of lower end
= π(r1 + r2)L + πr2²
= 3.14(15 + 5) × 26 + π(5)²
= 3.14 × 20 × 26 + 25 × 3.14
= 1711.3 cm²
Hence, the Area of metal sheet used to make the bucket is 1711.3 cm².
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