Question

the radius and the height of a cylinder are in the ratio of 5:7 and its volume is 550 cm cube then its radius​

Answer 1

Step-by-step explanation:

let it be x

5x^2×22/7×7x=550

x^2×22/7×7x=550/5

x^2×7x=110×7/22

x^2=35/7

x=√5

hence, radius= √5×5

=5

so radius is 5.

Answer 2

Given :-

• the radius and the height of a cylinder are in the ratio of 5:7 and its volume is 550cm³

To Find :-

• Radius of Cylinder

Solution :-

⟼ Let the Radius be 5x

⟼ Let the Height be 7x

According to the Formula :

⟾ Volume of Cylinder = πr²h

⟾ 550 = 22/7 × (5x)² × 7x

⟾ 550 = 22/7 × 5x × 5x × 7x

⟾ 550 = 22/7 × 25x² × 7x

⟾ 550 = 22 × 25x³

⟾ 550 = 550x³

⟾ 550 / 550 = x³

⟾ 1 = x

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Therefore :

• Radius = 5x = 5 × 1 = 5cm

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