Question
A right circular cylinder having total surface area of
2833.6 cm2 is immersed in a vessel completely filled with water. If the height of the cylinder is 30% more than its radius, what is the amount of water displaced (in cm3)?Solution
Let the radius and height of the cylinder be r and h cm respectively. ∴ h = 1.30r Total surface area of the cylinder = 2833.6 = 2πr(h + r) ∴ 2833.6 = 2πr(1.3r + r) = 2πr(2.3r) = 4.6πr2 ∴ 2833.6 = (9.2/2) × (22/7) × r2 = 2833.6 x 7 x 2/22 x 9.2 ∴ r2 = 196 ∴ r = 14 and h = 18.2 Amount of water displaced = Volume of the right circular cylinder = πr2h = (22/7) × (14)2 × (18.2) = 11211.2 cm³
What will come in place of the question mark (?) in the following series?
22, 28, 37, ?, 72, 102
99, 101, 107, 131, 251, ?
18Â Â Â 19Â Â Â 34Â Â Â 111Â Â Â Â 428Â Â Â Â 2165Â Â Â Â ?
...72, 79, 100, 135, 184, ?
51    52    48     57    ?      66      30
...135, 148, ?, 184, 207, 236
13, 29, 65, 129, ?, 373
96 89 ? 90 94 91
...Find the missing number, in the given number series.
360, 322, ?, 252, 220
12   18   31   51   ?   112
Relevant for Exams:
