Question

a factory packaged coconut water in cone - shaped containers with a base radius of 5.2cm and a height of 13 cm

Answer 1

The volume of the cone shape container is 367.924 cm³ .

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 =
`(1)/(3)`×
`\pi`×r²×h

where r is the radius of the base

and h is the height of the cone

So, V =
`(1)/(3)`×
`\pi`×(5.2)²×13 cm³

Or, V =
`(1)/(3)` × 3.14 × 5.2 × 5.2 × 13 cm³

Or, V =
`(1)/(3)` × 1103.7728 cm³

∴ V =
`(1103.7728)/(3)` cm³

I.e V = 367.924 cm³

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