Question

The diameter d in inches of a rope required to lift a weight of w tons is given by the function d = 10w/ π . How much weight can a rope that measures a radius of 2 inches lift (truncate the decimal to the hundredths)? A) 0.62 tons B) 0.63 tons C) 1.25 tons D) 1.26 tons

Answer 1

Answer: c) 1.25 tons

Explanation:

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Answer 2

Option D) 1.26 tons

Explanation:

we have

`d=(10w)/(\pi)`

where

d is the diameter of a rope in inches

w is the weight in tons

we have

`d=2(2)=4\ in` ----> the diameter is two times the radius

substitute the value of d and solve for w

`4=(10w)/(\pi)`

`w=(4\pi)/(10)=0.4\pi\ tons`

assume

`\pi =3.14`

`0.4(3.14)=1.26\ tons`