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A cube and a sphere made of cast iron (each of volume 1000 cm³) were cast under identical conditions. The time taken for solidifying the cube was 4 s. The solidification time (in s) for the for the sphere is ________.
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- 6.157 sec
- 6.154 sec
- 5.157 sec
- None of these
Correct Option: A
| ts = k |  |  | 2 | |
| A |
| tsphere = tcube | ...(i) | |
| A2sphere |
| πr3 = 1000 cm3 | |
| 3 |
∴ r = 6.2035 cm
Asphere = 4πr2 = 483.597 cm2
a3 = 1000 cm3
∴ a = 10
Acube = 6a2 = 600 cm2
From equation (i),
| ∴ tsphere= 4 × | = 6.157 sec | |
| (483.597)2 |
