Question

A Container, open at the top, is in the form of a frustum of a cone of height 24 cm with radii of its lower and upper circular end as 8 cm and 20 cm respectively. Find the cost of milk which can completely fill the container at the rate of ₹21 per litre.​

Answer 1

Answer:

Cost of the milk fill in the frustum is Rs 329.2. Where h is the height , R and r is the radius of the two bases of the frustum . A container open at the top,is in the form of frustum of a cone of height 24cm with radii of its lower and circular ends as 8 cm and 20cm. Thus the volume of the frustum is 15674.88 cm³ .

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Answer 2

Answer:

Cost of the milk at rate of Rs. 21 per litre = Rs. 329.28

Step-by-step explanation:

Let r1 and r2 be the radii of circular ends of the frustum and h be its height.Then, r1 = 8 cm, r2 = 20 cm and h= 24 cm

let V be the volume of the frustum. Then,

V = 1/3πh( r1^2 + r2^2 + r1 r2 )

Here, (π = 22/7)

V = 1/3 x 22/7 x 24 ( 8^2 + 20^2 + (8 x 20))

V = 15689.14 cm^3

Now convert into litre = 15689.14/1000 = 15.68 litres approx

Therefore, Cost of the milk at rate of Rs. 21 per litre = Rs. 329.28