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:

Option D) 1.26 tons

Step-by-step explanation:

we have

$d=\frac{10w}{\pi}$

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

$4=\frac{10w}{\pi}$

$w=\frac{4\pi}{10}=0.4\pi\ tons$

assume

$\pi =3.14$

$0.4(3.14)=1.26\ tons$

Answer 2

Answer: c) 1.25 tons

Step-by-step explanation:

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