Question

A container is open at the top, is in the form of a frustum of a cone of height 24cm with radii of its upper and lower circular ends as 8cm and 20cm respectively. Find the cost of milk which can completely fill the container at the rate of Rs 27 per litre.

Answer 1

Sol :
  h = 24 cm
lower end = r = 8 cm
upper end = R = 20 cm
V = (πh) / 3 x (R2 + Rr + r2)
                                      V = (π24) / 3 x (202 + 20x8 + 82)    
                                      V = 176 / 7 x 624
                                      V = 176 x 89.142 cm3
                                      V = 15688.992 cm3
                                     V = 15688.992 cm3 / 1000
                                      V = 15.688992 litre
Cost of milk per litre fill the container = 21 Rs
∴ Total cost of milk  fill the container = 15.688992 x21 = 329.4688rs

Answer 2

Answer:

Step-by-step explanation:

Sol :

 h = 24 cm

lower end = r = 8 cm

upper end = R = 20 cm

V = (πh) / 3 x (R2 + Rr + r2)

                                     V = (π24) / 3 x (202 + 20x8 + 82)    

                                     V = 176 / 7 x 624

                                     V = 176 x 89.142 cm3

                                     V = 15688.992 cm3

                                    V = 15688.992 cm3 / 1000

                                     V = 15.688992 litre

Cost of milk per litre fill the container = 21 Rs

∴ Total cost of milk  fill the container = 15.688992 x21 = 329.4688rs

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