Question
The sum of the volumes of cylinder A and B is
68376Â cm3 . The height of cylinder B is 3 cm more than the height of cylinder A. The curved surface area of cylinder A is 1584Â cm2 Â . If the radius of cylinder A is 28 cm, then find out the diameter of cylinder B is approximately what percentage of the height of cylinder A?Solution
Let’s assume the radius of cylinder A and B are ‘ra‘ and ‘rb‘ respectively. Let’s assume the height of cylinder A and B are ‘ha‘ and ‘hb‘ respectively. The curved surface area of cylinder A is 1584 cm2 . If the radius of cylinder A is 28 cm. curved surface area of cylinder A = 2x(22/7)xraxha 1584 = 2x22x4xha ha = 9 cm The height of cylinder B is 3 cm more than the height of cylinder A. hb = ha+3 hb = 9+3 = 12 cm The sum of the volumes of cylinder A and B is 68376 cm3 . (22/7)[(ra)2 x ha + (rb)2 x hb] = 68376 (22/7)[(28)2  x 9 + (rb)2  x 12] = 68376 [7056 + (rb)2  x 12] = 3108x7 [7056 + (rb)2  x 12] = 21756 [(rb)2  x 12] = 21756-7056 = 14700 (rb)2  = 1225 (rb) 2  = 352 rb = 35 cm Required percentage = [(2rb)/ha]x100 = [(2x35)/9]x100 = [70/9]x100 = 777.78% (approx.)
In each of the following number series, one term is missing. Find the missing term.
50, 45, 37, 26, 12, ?
9 28 83 250 ? 2248
What will come in place of the question mark (?) in the following series?
2, 5, 14, 41, 122, 365, ?
6400, 1600, ?, 80, 16, 4
384, 357, 313, 252, 174, ?
What will come in place of the question mark (?) in the following series?
13, 27, 57, 119, ?, 487
- What will come in place of the question mark (?) in the following series?
1, 9, 35, 91, 189, ? 15.975 ×27.825 + (76.01)² + 12.98×18.426 = ?+ (79.09)²
3, 8, 18, 33, 53, ?
What value should come in the place of (?) in the following number series?
192, 96, 96, 144, ?, 720
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