The volume of this cylinder is 2,769.48 cubic meters, the height is 18 cubic meters. What is the radius? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Respuesta :

Answer: r = 7 meters

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Volume = 2,769.48 cubic meters

Height = 18 meters

Therefore,

2769.48 = 3.14 × r² × 18

2769.48 = 56.52r²

r² = 2769.48/56.52 = 49

Taking square root of the left hand side and the right hand side of the equation, it becomes

r = √ 49 = 7 meters