A bucket made of aluminium sheet is of height 20 cm and its upper and lower ends are of radius 25 cm and 10 cm respectively. Find the cost of making the bucket if the aluminium sheet costs Rs. 70 per 100 $c m^{2}$ . (Use $π$ = 3.14).

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Solution

Soln:

Given height of bucket (h) = 20 cm

Upper radius of bucket $r_{1} = 25 c m$

Lower radius of the bucket $r_{2} = 10 c m$

Let ‘L’ be slant height of the bucket

$L = \sqrt{(r_{1} - r_{2})^{2} + h^{2}}$
$L = \sqrt{(25 - 10)^{2} + 20^{2}} = 25 c m$

∴∴ slant height of bucket (L) = 25 cm

Curved surface area of bucket $= π (r_{1} + r_{2}) L + π r_{2}^{2}$
$= π (25 + 10) \times 25 + π \times 10^{2} = 3061.5 c m^{2}$

Cost of making bucket per 100 $c m^{2}$ = Rs 70

Cost of making bucket per 3061.5 $c m^{2}$ = 3061.5100 $\times$ 70 = Rs 2143.05

Total cost for 3061.5 $c m^{2}$ = Rs 2143.05

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A bucket made of aluminium sheet is of height 20 cm and its upper and lower ends are of radius 25 cm and 10 cm respectively. Find the cost of making the bucket if the aluminium sheet costs Rs. 70 per 100 cm2. (Use π = 3.14).

A bucket made of aluminium sheet is of height 20 cm and its upper and lower ends are of radius 25 cm and 10 cm respectively. Find the cost of making the bucket if the aluminium sheet costs Rs. 70 per 100 $c m^{2}$ . (Use $π$ = 3.14).