The diameters of the lower and upper ends of a bucket in the form of a frustum of a cone are 10cm and 30cm respectively , if it's height is 24cm , find :
1. The area of the metal sheet used to make the bucket.
2. Why we should avoid the bucket made by ordinary plastic ?
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Answer:
Step-by-step explanation:
GIVEN :
Diameter of upper end of bucket =30cm
Radius of the upper end of the frustum of cone( r1) = 15cm
Diameter of lower end of bucket = 10 cm
radius of the lower end of the frustum of cone( r2) = 5 cm
H of the frustum of Cone = 24 cm
Slant height of bucket ( L)= √(h² + (r1- r2)²
L =√24² + (15 - 5)² = √576 + 10²
L =√(576+(100)= √676 = 26cm
L = 26 cm
Area of metal sheet require to make it = π(r1 + r2)L + πr1²
= 3.14(15 + 5) × 26 + π(5)²
= 3.14 × 20 × 26 + 25 × 3.14
= 3.14 (520+ 25)
= 545 × 3.14
= 1711.3 cm²
Area of metal sheet used to make the bucket is 1711.3 cm².
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