What is the volume of a right circular cylinder with a base diameter of 6 m and a height of 5 m?



Enter your answer in the box. Express your answer using π .

Respuesta :

Answer:

141.3 cubic inches

Step-by-step explanation:

The volume of a cylinder is found using the volume formula [tex]V=\pi r^2h[/tex].

The radius is half the diameter 6 which is 3.

Substitute h=5 and r = 3.

[tex]V = \pi r^2h\\V = \pi (3^2)(5)\\V=\pi *9*5\\V = 45\pi \\V= 141.3 [/tex]

Answer:

The volume of the right circular cylinder is 45π m³

Step-by-step explanation:

To solve this, we will follow the steps below;

We will simply use the formula;

v =  π r² h

Where v is the volume of the cylinder

π  is a constant

r is the radius

h is the height

From the question given;

diameter = 6 m but radius is half diameter, this implies radius =  d/2 =6/2 =  3 m

radius = 3 m

height = 5 m

We can now proceed to insert our values into the formula;

v =  π r² h

     =π × 3² × 5

      =π × 9 × 5

       =45π

Therefore the volume of the right circular cylinder is 45π m³