-
A semicircular sheet of metal of diameter 28 cm is bent into an open conical cup. The capacity of the cup (taking π = 22/7) is
-
- 624.26 cm³
- 622.38 cm³
- 622.56 cm³
- 623.20 cm³
- 624.26 cm³
Correct Option: B
Let the radius of the base of cup be r cm, 2πr = π × 14
π r = 7 cm
Slant height = 14 cm;
Height = √14² - 7⊃ = √21 × 7
= 7√3 cm
| ∴ Capacity of cup = | πr²h | |
| 3 |
| = | × | × 7 × 7 × 7√3 cm | ||
| 3 | 7 |
= 622.36 cubic cm.
