Question

The diameter of the lower and upper end of a bucket in the form of a frustum of a cone extension and 30 cm respectively if its height is 24 cm find the area of the metal sheet used to make the bucket why we should avoid the bucket made by ordinary plastic use theta equal to 3.14

Answer 1

Answer:

Step-by-step explGIVEN :

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

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