A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends: The figure shows a cylinder of height 16 inches and diameter 6 inches. What is the approximate inside volume of the pipe? (8 points) 113 cubic inches 452 cubic inches 410 cubic inches 254 cubic inches

154 cu. in

Step-by-step explanation:

The space you have to measure is a cylinder.

Its height is the same as the height of the pipe, 16 inches.

Its diameter =inner diameter of pipe

= outer diameter of pipe - thickness of walls at each end of diameter

= 6 - 2(1.25)

= 3.5 inches

radius r = 1.75 inches

A cross-section of the cylindrical space is a circle.

area of circle = πr² = π * 1.75² = 9.625

volume = area of circle * height

9.625 * 16

= 154 cu. in.

A. P(success/age≥60) = 12.5%

B. Yes, the success is independent of age.

Step-by-step explanation:

Probability of success, given that a climber is at least 60 years old is calculated using conditional probability rule

P(A|B) = P(A n B)/P(B)

Probability of success given that a climber is at least 60 years old is given by

P(success|age≥60) = P(success n age ≥ 60)/P(age ≥ 60) = 0.005/0.04

= 0.125

P(success|age≥60) = 12.5%

B. The success is independent on age