A bucket, made of metal sheet, is in the form of a cone whose height is 35 cm and radii of circular ends are 30 cm and 12 cm. How many litres of milk it contains if it is full to the brim? If the milk is sold at Rs 40 per litre, find the amount received by the person.
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Answer:
It contains 51.480 l of milk if it is full to the brim and the amount received by the person is ₹ 2059.20 .
Step-by-step explanation:
SOLUTION :
Given :
Radius of the one circular end of the bucket (frustum of cone)( R) = 30 cm
Radius of the other circular end of the bucket (frustum of cone),r = 12 cm
Volume of bucket ( frustum of Cone) = π/3 (R² + r² + Rr) h
= ⅓ × π (30² + 12² + 30× 12)× 35
= ⅓ π (900 + 144 + 360)× 35
= ⅓ π × 1404 × 35
= 22/7 × 468 × 35
= 22× 468 × 5
= 51480 cm³
= 51.480 l
[1 cm³ = 1/1000 l]
Volume of bucket = 51.480 l
It contains 51.480 l of milk if it is full to the brim .
Cost of 1 l of milk = ₹40
Cost of 51.480 l of milk = ₹40 × 51.48 l = ₹ 2059.20
The amount received by the person is ₹ 2059.20 .
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