Question

The radius and height of a cylinder are in the ratio 5:7 and its volume is 550 cm'. Find the its radius.
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Answer 1

volume of a cylinder ➡️V=πr2h

The radius and height of a cylinder are in the ratio 5:7 and its volume is 550 cm3. Find its radius. Let radius (r) = 5x and height (h) = 7x. ∴ The required radius = 5x = 5 x 1 = 5cm

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Answer 2

Answer:

Ratio: 5:7

Let the radius and height be 5x and 7x,

Volume = 550 cm^2

Volume =

\pi \: {r}^{2} hπr

2

h

= 22/7 × 5x ×5x ×7x = 550

=22× 25x^3 = 550

=550x^3=550

=x^3=1

=x= cube root of 1 = 1 cm

Radius= 5 ×1 =5 cm

Height= 7×1=7 cm

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