Question

I need help with this math problem

Answer 1

Answer:

The radius of the hole is 0.42 feet

Step-by-step explanation:

Let us revise the rule of the volume of a cylinder

→ V = πr²h, where

→ V is the volume of the cylinder in a cubic unit

→ r is the radius of the base of the cylinder

→ h is the height of the cylinder

Let us solve our question

→ The volume of the cylinder is 3800 cubic feet

→ The height of the cylinder is 1.3 miles

Very Important Note: dimensions must have the same unit

→ Change the mile to feet

→ There are 5280 feet in 1 mile

→ Multiply 1.3 miles by 5280 to change it to feet

→ The height = 1.3 × 5280 = 6864 feet

Let us substitute the values of V and h in the rule above

∵ V = πr²h

∵ V = 3800 ft³

∵ h = 6864 ft

∴ 3800 = πr²(6864)

→ Divide both sides by 6864π to find r²

∴ r² = 0.1762205081

→ take √  for both sides to find r

∴ r = 0.4197862648

→ Round it to the nearest hundredth

∴ r = 0.42 ft

The radius of the hole is 0.42 feet