Question
Solution
According to the question, CSA/TSA = 2/5 ⇒ [2πRh]/[2πR(R + h)] = 2/5 ⇒ h/(R + h) = 2/5 ⇒ 5h = 2R + 2h ⇒ h = (2/3)R .......(1) The volume of a cylinder and the volume of a solid hemisphere are equal. ⇒ πR2h = (2/3)πr3 ⇒ R2 × (2/3)R = (2/3) × (21)3 ⇒ R3 = (21)3 ⇒ R = 21 सेमी ∴ The radius of its base (in cm) is 21 cm.
12, 6, 6, 9, 18, ?
77 ? 190 257 331 412
...10 625 50 125 250 25 ?
...90     211     67     236     ?     265
...1335Â Â Â Â Â Â 737Â Â Â Â Â Â Â Â 355Â Â Â Â Â Â Â Â 141Â Â Â Â Â Â Â Â 47Â Â Â Â Â Â Â Â Â Â ?
...Which of the following numbers will replace the question mark (?) in the given series?
69, 70, 74, 83, ?, 124
15Â Â Â Â Â Â Â Â Â Â Â Â 13 Â Â Â Â Â Â Â Â 28 Â Â Â Â Â Â Â Â Â Â Â Â Â Â 24 Â Â Â Â Â Â Â Â Â Â Â Â Â Â 54 Â Â Â Â Â Â Â Â 52
...4, 8, 24, ?, 840, 9240
If 6 4 x 5.75 9,
Then, (x²-1) = ?
...13 22 40 67 103 ?
...
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