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Volume of the hemisphere = (2/3)πr³ Volume of the cone = (1/3)πr²h Since the volume remains constant, (2/3)π(10)³ = (1/3)π(5)²h Simplifying: (2/3)π(1000) = (1/3)π(25)h (2000) = (25)h h = 2000 / 25 = 80 cm Correct Option: b
I. 99 x² + 31 x – 110 = 0
II. 6y² - 31y + 35 = 0
I. 7x² + 52x + 21 = 0
II. 6y² + 7y - 24 = 0
(i) 2x² – 9x + 10 = 0
(ii) 4y² – 12y + 9 = 0
Equation 1: 2x2 - 21x + 54 = 0
Equation 2: 4y2 - 23y + 15 = 0
Difference between the roots of equation 1 is approx...
l. x2 - 16x + 64 = 0
II. y2 = 64
I. 4p² + 17p + 15 = 0
II. 3q² + 19q + 28 = 0
I. x² – 44x + 468 = 0
II. y² – 30y + 216 = 0
I. 35 y² + 58 y + 24 = 0
II. 21 x² + 37 x + 12 = 0
I. x2 – 36 = 0
II. y2 - 7y + 6 = 0
I. x² - 208 = 233
II. y² + 47 - 371 = 0
