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The volume of a right circular cylinder is equal to the volume of that right circular cone whose height is 108 cm and diameter of base is 30 cm. If the height of the cylinder is 9 cm, the diameter of its base is
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- 30 cm
- 60 cm
- 50 cm
- 40 cm
- 30 cm
Correct Option: B
| Volume of the cone = | π × 15 × 15 × 108 | |
| 3 |
Volume of cylinder = π × r² × 9 cm³
According to the question, π × r² × 9
| = | π × 15 × 15 × 108 | |
| 3 |
| ⇒ r² = | ||
| 9 |
⇒ r² = 900 ⇒ r = 30
Diameter of base = 2r = 2 × 30 = 60 cm.
