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  1. If 4r = h +√r2 + h2 then r : h is ? (r ≠ 0)
    1. 17:8
    2. 8:17
    3. 8:15
    4. 15:8
Correct Option: C

4r = h + √r2 + h2
⇒  4r − h = √r2 + h2
On squaring both sides,
(4r – h)2 = (√r2 + h2)2
⇒  16r2 + h2 – 8rh = r2 + h2
⇒  16r2 – r2 = 8 rh ⇒ 15r2 = 8rh

⇒  15r = 8h ⇒
r
=
8
h15



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