Question

The diameter of the upper and the lower end of a bucket in the form of frustrm of cone are 10cm and 30cm respetiviy of its height is 24 cm find ...

(i) the area of metal sheet used to make the bucket..

(ii) why should we avoid the bucket made by ordinary plastic..

plzzz sovle this it is urgent...

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 the bucket made by ordinary plastic used because it is non biodegradable & it is made of PVC which is the most toxic plastic & not good for health and environment.

HOPE THIS WILL HELP YOU...

Answer 2

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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