a solid metallic object is shaped like a double cone as shown in the figure radius of base of both on is same but their height are different if this Kaun is immersed in water find the quantity of water it will displace
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Answer :-
Let us assume that,
- Radius of both bases of cone = r cm .
- Height of top cone = h1 cm .
- Height of bottom cone = h2 cm .
so,
→ Quantity of water displace = The volume of double cone .
→ Quantity of water displace = Volume of top cone + Volume of bottom cone .
→ Quantity of water displace = (1/3)πr²h1 + (1/3)πr²h2
→ Quantity of water displace = (1/3)πr²(h1 + h2) (Ans.)
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