If the total height of the silver solid is 19 cm and diameter of the cylinder is
7 cm, find the volume and cost of the silver solid at the rate of Rs. 400 per cubic cm.
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If the total height of the silver solid is 19 cm and diameter of the cylinder is
7 cm, find the volume and cost of the silver solid at the rate of Rs. 400 per cubic cm.
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Verified answer
Given :-
To Find :-
Solution :-
The silver solid is formed using two hemispheres and one cylinder.
So, The volume of the silver solid will be Volume of the two hemispheres and the cylinder.
⇒ Volume of Hemisphere = 2/3 πr³
But there are two hemispheres, So
⇒ Volume of 2 hemispheres = 4/3 πr³
⇒ Volume = 4/3 × 22/7 × 7 × 7 × 7
⇒ Volume = 88 × 7 × 7 / 3
⇒ Volume = 4312/3
⇒ Volume, V = 1437.33 m³
Now, Let us find the volume of the cylinder,
Volume of Cylinder,
⇒ Volume, v = πr²h
⇒ Volume, v = 22/7 × 7 × 7 × (19 - 14)
⇒ Volume, v = 22 × 7 × 5
⇒ Volume, v = 770 m³
Now, The volume of the silver solid is,
⇒ Volume = V + v
⇒ Volume = 1437.33 + 770
⇒ Volume = 2207.33 m³
Furthermore, The cost can be calculated as,
⇒ Cost = Volume × Rate
⇒ Cost = 2207.33 × 400
⇒ Cost = 882,932
Hence, The cost of the silver solid is ₹ 8,82,932
Answer:
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