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Answers
Answer:
which one ? there are two 27 ,28
Step-by-step explanation:
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Answer 27) :-
given ,
- Radius of hemispherical vessel = 14cm.
So,
→ Volume of sand = (2/3) * π * (radius)³ = (2/3) * (22/7) * (14)³ = (44/3) * (2 * 196) = (44 * 392)/3 cm³
Now, this sand is poured on a level ground of cone shape with height 7 cm. Let us assume that radius of cone is r cm.
then,
→ Volume of cone = volume of sand .
→ (1/3) * π * (r)² * h = (44 * 392)/3
→ (1/3) * (22/7) * (r²) * 7 = (44 * 392)/3
→ 22r² = (44 * 392)
dividing both sides by 7,
→ (22/7)r² = (44 * 392)/7
→ Base Area = 56 * 44 = 2464 cm² (Ans.)
________________
Answer 28) :-
→ 4tanA = 3
→ tanA = 3/4 = Perpendicular / Base
So,
- Perpendicular = 3 .
- Base = 4 .
then,
→ Hypotenuse = √[(P² + B²] = √[3² + 4²] = √[9 + 16] = √25 = 5 .
So,
- sinA = P/H = 3/5 .
- cosA = B/H = 4/5 .
therefore,
→ (4sinA - cosA + 1) / (4sinA + cosA - 1)
→ {4*(3/5) - (4/5) + 1} / {4*(3/5) + (4/5) - 1}
→ {(12/5) - (4/5) + 1} / {(12/5) + (4/5) - 1}
→ {(12 - 4 + 5)/5} / {(12 + 4 - 5)/5}
→ (13/5) / (11/5)
→ (13/5) * (5/11)
→ (13/11) (Ans.)