Question

The radius and height of a cylinder are in the ratio 5:7 and it's volume is 550cm^3. Find it's radius. ​

Answer 1

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➡️Let the radius of the base and height of the cylinder be 5x cm and 7x cm respectively.

Then, Volume = 550 cm³

$\frac{22}{7} \times (5x) {}^{2} \times 7x = 550$

$22 \times 25 {x}^{3 } = 550$

$x = 1cm$

°.° Hence, radius of the cylinder = 5x = 5 cm.

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Answer 2

Let the radius of the base and height of the cylinder be 5x cm and 7x cm respectively.

Then,

Volume = 550 cm3

⇒ 22/7 × 25x2 × 7x = 550

⇒ 22 × 25x3 = 550

⇒ 550x3 = 550

⇒ x3 = 1

⇒ x = 1 cm

Hence, radius of the cylinder

= 5 cm.

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