Scientists are drilling a hole in the ocean floor to learn more about the Earth's history. Currently, the hole is in the shape of a cylinder whose volume is approximately 3600 cubic feet and whose height is 2.5 miles. Find the radius of the hole to the nearest hundredth of a foot.

Radius = 0.29 feet

Step-by-step explanation:

We are told in the question that the hole that they are drilling is cylindrical in shape

Volume of a cylinder = πr²h

Volume of the cylindrical hole = 3600 cubic feet

Height of the hole = 2.5 miles

Step 1

Convert height to feet

1 mile = 5280 feet

2.5 miles =

Cross Multiply

2.5 miles × 5280 feet = 13200 feet

Step 2

Find radius of the cylindrical hole

Radius of a cylinder is calculated using the formula = √V/πh

= √3600/π × 13200

= 0.29464 feet

Therefore, approximately to the nearest hundredth, the radius of the cylindrical hole = 0.29 feet

step-by-step explanation:

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5