A bucket made up of a metal sheet is in the form of a frustum of a cone of height 16 cm with diameters of its lower and upper ends as 16 cm and 40 cm respectively. Find the volume of the bucket. Also, find the cost of the bucket if the cost of metal sheet used in Rs 20 per 100 cm² .
(Use π = 3.14)

Open in App

Solution

The height of the bucket is h=16cm. The radii of the upper and lower circles of the bucket are r₁ =20 cm and r₂ = 8 cm respectively.
The slant height of the bucket is
The volume of the bucket is
Hence the volume of the bucket is
The surface area of the used metal sheet to make the bucket is
Therefore, the total cost of making the bucket is

Suggest Corrections

Similar questions

A bucket made up of a metal sheet is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm respectively. Find the cost of the bucket if the cost of metal sheet used is Rs 15 per 100 $c m^{2}$ . $[U s e π = 3.14.]$

Q. A bucket open at the top, and made up of a metal sheet is in the form of a frustum of a cone. The depth of the bucket is 24 cm and the diameters of its upper and lower circular ends are 30 cm and 10 cm respectively. Find the cost of metal sheet used in it at the rate of Rs 10 per

100 c m^{2} . [U s e 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).

Join BYJU'S Learning Program

A bucket made up of a metal sheet is in the form of a frustum of a cone of height 16 cm with diameters of its lower and upper ends as 16 cm and 40 cm respectively. Find the volume of the bucket. Also, find the cost of the bucket if the cost of metal sheet used in Rs 20 per 100 cm2 . (Use π = 3.14)