Respuesta :

Answer:

The volume of the cone shape container is 367.924 cm³  .

Step-by-step explanation:

Given as :

The radius of the base = 5.2 cm

The height of cone shaped container = 13 cm

Let The volume of the cone = V

So, Volume of cone = [tex]\frac{1}{3}[/tex]×[tex]\pi[/tex]×r²×h

where r is the radius of the base

and h is the height of the cone

So, V =  [tex]\frac{1}{3}[/tex]×[tex]\pi[/tex]×(5.2)²×13   cm³

Or, V =  [tex]\frac{1}{3}[/tex] × 3.14 × 5.2 × 5.2 × 13   cm³

Or, V =  [tex]\frac{1}{3}[/tex] × 1103.7728   cm³

∴   V = [tex]\frac{1103.7728}{3}[/tex] cm³

I.e V = 367.924  cm³

Hence The volume of the cone shape container is 367.924 cm³  . Answer