Question

The volume of this CONE is 175π cubic units.

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

Answer 1

1649.33 units³

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.