एका वृत्तचिती आकाराच्या पिंपाच्या तळाची त्रिज्या 21 सेमी आहे. त्यात पाणी आहे.त्या पाण्यात 22 सेमी लांब, 18 सेमी रुंद, 7 सेमी उंच असलेला धातूचा ठोकळाटाकला असता पिंपातील पाण्याची उंची किती वाढेल?(2) 3 सेमी(1) 2 सेमी(3) 3.5 सेमी(4) 2.5 सेमी
Answers
Solution :-
Let us assume that, the height of the water increases at a height of h cm .
So,
→ Length of solid vessel = 22 cm
→ Breadth of solid vessel = 18 cm
→ Height of solid vessel = 7 cm
then,
→ Volume of solid vessel = L * B * H = (22 * 18 * 7) cm² .
and,
→ Volume of cylindrical pipe = πr²h
given that, radius is 21 cm .
therefore,
→ Volume of cylindrical pipe = Volume of solid vessel
→ πr²h = 22 * 18 * 7
→ (22/7) * 21 * 21 * h = 22 * 18 * 7
→ 21 * 21 * h = 18 * 7 * 7
→ 3 * 3 * h = 18
→ 9h = 18
→ h = 2 cm (Option 1) (Ans.)
Hence, the height of the water increases at a height of 2 cm .
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