the volume of a 14 cm long cylinder is equal to the volume of a cube of Edge 11 cm find the radius of the cylinder
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Answer:
- Radius of cylinder = 5.5 cm (Approx)
Step-by-step explanation:
Given:
- Volume of cylinder = Volume of cube
- Height of cylinder = 14 cm
- Edge of cube = 11 cm
To Find:
- Radius of cylinder,
Now, according to question,
⇒ Volume of cylinder = volume of cube
⇒ πr²h = side³
⇒ 22/7 × 14 × r² = 11³
⇒ 308/7 × r² = 1331
⇒ 308 × r² = 9317
⇒ r² = 9317/308
⇒ r² = 30.25
⇒ r = √30.25
⇒ r = 5.5 cm (Approx).
Hence, Radius of cylinder = 5.5 cm (Approx)
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