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# Solution - A Bucket Made of Aluminum Sheet is of Height 20cm and Its Upper and Lower Ends Are of Radius 25cm an 10cm, Find Cost of Making Bucket If the Aluminum Sheet Costs Rs 70 per 100 Cm2 - CBSE Class 10 - Mathematics

ConceptSurface Area of a Combination of Solids

#### Question

A bucket made of aluminum sheet is of height 20cm and its upper and lower ends are of radius 25cm an 10cm, find cost of making bucket if the aluminum sheet costs Rs 70 per
100 cm2

#### Solution

Given that,

The radii of the upper and lower circles of the bucket are r1 = 25 cm and r2= 10 cm respectively.

The height of the bucket = 20 cm

The slant height of the bucket

l=sqrt(h^2+(r_1-r_2)^2

=sqrt(20^2+(25-10)^2

=sqrt(400+225)

=sqrt(625)

= 25 cm

The surface area of the used aluminium sheet to make the bucket

S=pi(r_1+r_2)xxl+pir_2^2

= 3.14(25+10) x 25 + 3.14 x 10 x 10

= 3.14 x 35 x 25 + 3.14 x 100

= 2747.5 + 314

= 3061.5 cm

It is given that the cost of aluminium sheet is Rs 70 per 100 cm2

therefore, the total cost of making the bucket

Rs 3061.5/100xx70

Rs 2143.05

Hence, the total cost of making the bucket is Rs 2143.05.

Is there an error in this question or solution?

#### APPEARS IN

R.D. Sharma 10 Mathematics (with solutions)
Chapter 16: Surface Areas and Volumes
Q: 13

#### Reference Material

Solution for question: A Bucket Made of Aluminum Sheet is of Height 20cm and Its Upper and Lower Ends Are of Radius 25cm an 10cm, Find Cost of Making Bucket If the Aluminum Sheet Costs Rs 70 per 100 Cm2 concept: Surface Area of a Combination of Solids. For the course CBSE
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