Get the answers you need from a community of experts on IDNLearn.com. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.

The volume of this CONE is 175π cubic units.

What is the volume of a CYLINDER with the same radius and the same height?


Sagot :

Answer:

1649.33 units³

Step-by-step explanation:

Let the height and the radius be known as "h" and "r" respectively.

Formulae(s):

  • Volume of cylinder: πr²h
  • Volume of cone: πr²h/3

Clearly, we can see that the volume of the cylinder is three times greater than the volume of the cone as,

  • ⇒ πr²h = 3(πr²h/3)
  • ⇒ πr²h = πr²h (True)

Determining the volume of the cylinder;

  • ⇒ Volume of cylinder = Volume of cone × 3
  • ⇒ Volume of cylinder = 175π × 3
  • ⇒ Volume of cylinder = 525π
  • ⇒ Volume of cylinder = 1649.33 units³   (2 d.p)

Therefore, the volume of the cylinder is 1649.33 units³.