The diameters of the lower and upper ends of a bucket in the form of a cone are 10cm and 30cm respectively. if its 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?
Answers
= πl(R+r) + πr²
l = √h² + (R-r)²
l = √(24)² + (15-5)²
l = √576 + 100
l = √676 = 26 cm
Then, = πl(R+r) + πr²
= 3.14 × 26 (15+5) + 3.14 (5)²
= 3.14 (26 × 20 + 25)
= 3.14 (520 + 25)
= 3.14 × 525
= 1711.3 cm²
2. We should avoid using plastic buckets as they are not eco-friendly and
non-biodegradable. It also pollute our environment.
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Given:
Diameter of the upper end = 30 cm
Diameter of the lower end = 10 cm
Height = 24 cm
To find:
Area
Solution:
Radius of the upper end of the cone = 15 cm
Radius of the lower end of the cone = 5 cm
In order to find the area,
The slant height should be calculated.
Slant height = √ ( h^2 + ( Radius of the upper end of the cone - Radius of the lower end of the cone )^2
√24^2 + ( 15 - 5 )^2
√576 + 10^2
Slant height = 26 cm
Area of the metal = Curved surface Area + Area of base of the cone.
Curved surface area = π ( Radius of the upper end of the cone - Radius of the lower end of the cone ) * Slant height
Area of the base = πr2^2
Hence,
π ( Radius of the upper end of the cone - Radius of the lower end of the cone ) * Slant height + πr2^2
3.14 ( 15 + 5 ) × 26 + π( 5 )^2
3.14 × 20 × 26 + 25 × 3.14
545 × 3.14
Area = 1711.3 sq.cm
Hence, the area of metal sheet used to make the bucket is 1711.3 sq.cm
- Plastics are non-biodegradable and cause environmental pollution.
- Chemicals added to plastic are absorbed by human body.
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