The length of a pencil is 15 cm and its radius is 3 cm. Find the ratio of its length to diameter

2 : 5

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5 : 2

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5 : 1

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1 : 5

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Solution

The correct option is B
5 : 2

Given the length of the pencil = 15 cm

Radius of the Pencil = 3 cm ; Hence Diameter = 2 $\times$ 3 = 6 cm

Hence ratio of the length of the pencil to length of its diameter = 15 : 6

= $\frac{15}{6}$

= $\frac{5}{2}$ = 5 : 2 ( Dividing by 3)

Hence ratio of its length to diameter = 5 : 2

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If 2 $^{x}$ x 8 $^{1 / 5}$ = 2 $^{1 / 5}$ , then x is equal to

x = \sqrt{\frac{\sqrt{5} + 1}{\sqrt{5} - 1}}

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