Question

A container in the shape of a frustum of a cone having diameters of the top and bottom
are 35 cm and 30 cm and the vertical height 14cm, is completely filled with oil. If each
cm of oil has a mass of 1.2g, then find the cost of oil in the container if it costs Rs. 40
per litre​

Answer 1

Answer:

558.8 Rs

Step-by-step explanation:

Given: height of container/frustum = h = 14 cm

Diameter of top of container = 35 cm

Diameter of bottom of container = 30 cm

∴ Radius of top = R = 35/2 = 17.5 cm

∴ Radius of bottom = r = 30/2 = 15 cm

1 cm3 of oil = 1.2g of oil

Cost of 1 kg oil = 40 Rs

Volume of oil in container = volume of container which is in form of frustum

= (22/3) × 2 × (306.25 + 225 + 262.5) cm3

= (22/3) × 2 × 793.75 cm3

= 34925/3 cm3

= 11641.667 cm3

∴ Volume of oil in container = 11641.667 cm3

∴ 11641.667 cm3 of oil = 11641.667 × 1.2 g

= 13970.0004 g

We know 1000 g = 1 kg

∴ 13970.0004 g = 13970.0004/1000 kg

= 13.970 kg

∴ Cost of 13.970 kg oil = 13.970 × cost

=13.970×40 RS

=558.8RS

=∴ cost of oil in the container=588.8 RS