Question
A circular cylinder and a hemisphere have the same
radius (r) and the height of the cylinder is equal to the diameter of the hemisphere. Find the ratio of their volumes.Solution
Volume of the cylinder = πr²h Volume of the hemisphere = 2/3 × πr³ (since the height of the cylinder is 2r, which is the diameter of the hemisphere) Ratio of the volumes = (πr²(2r)) / (2/3 × πr³) = 3/1 = 3:1.
1 9 64 255 755 1835
...77 ? 190 257 331 412
...18, 25, 33, 42, 52, 63, ?
15, 65, 165, 315, ?, 765
1 6 13 24 41 ?
If  204    196       223   x  284
Then, what is the average of the numbers of the above series?
...22Â Â Â 23Â Â Â Â 32Â Â Â Â 57Â Â Â 106Â Â Â ?
4Â Â Â Â Â Â Â Â Â 5.5Â Â Â Â Â Â Â Â Â Â Â 19 .5Â Â Â Â Â Â Â Â Â Â Â Â Â 98.5Â Â Â Â Â Â Â Â Â Â Â Â Â Â 694Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 6251.5...
620 632 608 644 596 ?
...36, 49, 23, 62, ?, 75