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The height and the radius of the base of a right circular cone are 12 cm and 6cm respectively. The radius of the circular cross-section of the cone cut by a plane parallel to its base at a distance of 3 cm from the base is
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- 4 cm
- 5.5 cm
- 4.5 cm
- 3.5 cm
- 4 cm
Correct Option: C
AC = 12 – 3 = 9 cm
OB = 6cm
∆ACD ~ AOB
| ⇒ | = | ||
| OA | OB |
| ⇒ | = | ||
| 12 | 6 |
| ⇒ CD = | × 6 = 4.5 cm. | |
| 12 |
