Find the volume of the cylinder. Give you answers both in terms of π and rounded to the nearest tenth.


a cylinder with base area 24π cm2 and the height 19 cm


The volume of the cylinder is
_______π cm3 which is approximately
_______cm3.

Respuesta :

Answer:

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,

Height = 19 cm

Since the base area is 24π cm², we would determine its radius by applying the formula,

Area of circle = πr²

24π = πr²

r² = 24

r = √24

Therefore,

Volume of cylinder = π × (√24)² × 19 = 456π cm³

It is approximately

456 × 3.14 = 1431.8 cm³