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