Question
A right circular cylinder having total surface area of
16940 cm2 is immersed in a vessel completely filled with water. If the height of the cylinder is 20% 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 = 1.20r Total surface area of the cylinder = 16940 = 2Ï€r(h + r) ∴ 16940 = 2Ï€r(1.2r + r) = 2Ï€r(2.2r) = 4.4Ï€r2 ∴ 16940 = (8.8/2) × (22/7) × r2 = 16940 x 7 x 2/22 x 8.8 ∴ r2 = 1225 ∴ r = 35 and h = 42 Amount of water displaced = Volume of the right circular cylinder = Ï€r2h = (22/7) × (35)2 × (42) = 161700 cm³Â
42 + 52% of 300 - ?% of 200 = 88
- What will come in the place of question mark (?) in the given expression?
(120 - ?) ÷ 2 + 35 = 86 - 11 What will come in the place of question mark (?) in the given expression?
(18 × 8 ÷ 12) × 10 = ?
Evaluate:
√729 + √49 - √16 + 1/√64
What will come in the place of question mark (?) in the given expression?
(1040 ÷ 12) ÷ 19 × 1824 = ?
[(1245 ÷ 9) ÷ 12] × 540 = ?2 – 175
Simplify the following questions:
(11) 8.5 × (121) 5.5 ÷ (1331) 5.5 = (11) ? Â
...60 % of 640 - 57 × 2 - 1520 / 38 = ?
16 × ? + 36% of 250 = 410
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