Question

A metallic container open at the top of height 24 cm is in the shape of the frustum of a cone. The radii of whose lower and upper ends are 15 cm and 5 cm respectively.

Find

i) The volume of water can completely fill the container


ii) The cost of metal sheet used to make container at the rate of Rs 10 per cm​

Answer 1

Answer:

i) Volume of water can completely fill the container :

1/3*π*h*(R2+Rr+r2)

=1/3*22/7*24*[(15)2+15*5+(5)2]

=528/21*(225+75+25)

=7920 cm3

[ R2 = square of R i.e. 15

r2 = square of r i.e. 5

cm3 i.e. cube of cm ]

ii) The cost of metal sheet

= Rs. 79200