Guys plzz help me plzz fastt
Answers
Answer 1) :-
- Radius of marble = 1.4cm .
- Total marbles = 150 .
So,
→ Volume of 1 spherical marble = (4/3)πr³
→ Volume of 150 spherical marble = 150 * (4/3) * (22/7) * (1.4)³ = 50 * 4 * 22 * 0.2 * 1.96 = 1724.8 cm³ .
Now,
- Radius of cylindrical vessel = 7cm.
- Height of cylinder = Let h cm.
then,
→ Volume of 150 spherical marble = volume of cylindrical vessel
→ 1724.8 = π * (7)² * h
→ h = 1724.8/(22 * 7)
→ h = 11.2 cm. (Ans.)
Hence, Rise of water level in cylindrical vessel is 11.2 cm.
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Answer 2) :-
Let us assume that, required three numbers in AP are (a - d) , a and (a + d) .
So,
→ (a - d) + a + (a + d) = 27
→ 3a = 27
→ a = 9.
Also,
→ (a - d)² + a² + (a + d)² = 293
→ (9 - d)² + 9² + (9 + d)² = 293 .
using :-
- (a - b)² = a² + b² - 2ab
- (a + b)² = a² + b² + 2ab
→ (81 + d² - 18d) + 81 + (81 + d² + 18d) = 293
→ d² + d² + 81 + 81 + 81 = 293
→ 2d² + 243 = 293
→ 2d² = 293 - 243
→ 2d² = 50
→ d² = 25
→ d = ± 5 .
if d = 5 , Numbers are :-
- 9 - 5 = 4 .
- 9
- 9 + 5 = 14 .
if d = (-5) , Numbers are :-
- 9 - (-5) = 14 .
- 9 .
- 9 + (-5) = 4.
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Answer:
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and thanks for sending ur photo
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