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The volume of a right circular cylinder, 14 cm in height, is equal to that of a cube whose edge is 11 cm. (Taking π = 22/7) the radius of the base of the cylinder is
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- 5.2 cm.
- 5.5 cm.
- 11.0 cm.
- 22.0 cm.
- 5.2 cm.
Correct Option: B
Volume of the cube = (edge)³ = (11 × 11 × 11)cm³
∴ Volume of cylinder = 11 × 11 × 11
⇒ πr² × 14 = 11 × 11 × 11
⇒ r² = | = | |||
22 × 14 | 4 |
⇒ r = √ | = | = 5.5 cm. | ||
4 | 2 |