Question

A bucket made up of a metal sheet is in the form of a frustum of a cone of height 16cm with the diameters of its lower and upper ends are 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 is rupees 20 per 100 cmsq

Answer 1

Given height off frustum cone = 16cm Diameter of lower end of bucket (d1) = 16cm Lower and radius (r1) = 16/2 = 8cm Upper and radius (r2) = 40/2 = 20cm Let ‘l’ be slant height of frustum of cone Slant height of frustum cone (l) = 20cm Curved surface area of frustum cone Read more on Sarthaks.com - https://www.sarthaks.com/107356/a-bucket-made-up-of-a-metal-sheet-is-in-form-of-a-frustum-of-cone-of-height-16cm-with-diameters

Answer 2

Surface area of the bucket = l (r1 + r2) + r12

= 3.14 20 28 + 3.14 64

= 3.14 (560 + 64)

= 1959.36 sq. cm

Cost of 100 sq. cm metal = Rs. 15

Cost of 1 sq. cm metal = Rs. 0.15

Cost of 1959.36 sq. cm metal = Rs. 293.90