asked 198k views
5 votes
The volume of a cylinder is 180π cubic meters. The height of the cylinder is 11.25 meters. What is the radius of the cylinder?

1 Answer

6 votes

Answer :

  • Radius = 4 meters.

Step-by-step explanation :

It's given that :

The volume of a cylinder is 180π cubic meters. The height of the cylinder is 11.25 meters.

Formula of volume of cylinder = πr²h

where,

  • r denotes radius of the cylinder
  • h denotes height of the cylinder.

By substituting the values of values of height and volume in the above formula we'll get the required value of the radius.


:\implies 180π = πr² 11.25


:\implies 180π = r² × 11.25 π


:\implies 180π/11.25 π = r²


:\implies 16 = r²


:\implies r² = √16


:\implies r = 4

Hence, Radius of the cylinder is 4 meters.

――⁠―⁠―⁠――⁠―⁠―⁠――⁠―――⁠―⁠―⁠――⁠―⁠―⁠――⁠―⁠―⁠

answered
User Joze
by
8.3k points