Question

the diameter of the lower and upper ends of a bucket in the form of a frustum of a cone are 10 cm and 30 cm respectively if its height is 24 cm find 1. the area of metal sheet used to make the bucket 2. why we should avoid the bucket made by ordinary plastic

Answer 1

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 bucket = Curved surface Area of frustum + area of base
= π(r1 + r2)L + πr2²
= 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
Hence, the Area of metal sheet used to make the bucket is 1711.3 cm².

2. We should avoid bucket made by ordinary plastic because it is non biodegradable it makes soil less fertile & pollute the environment also.

HOPE THIS WILL HELP YOU...

Answer 2

Here is the answer......