Select the correct answer.

A conical paper cup has dimensions as shown in the diagram. How much water can the cup hold when full?

By definition, the volume of a cone is given by:

V = (1/3) * (/pi) * (r^2) * (h) V = (1/3) ∗ (π) ∗ (r

2

) ∗ (h)

Where,

r: radius of the circular base of the cone.

h: cone height

The cone radius is given by:

r = d / 2r=d/2

Where,

d: diameter of the circular base.

Substituting values we have:

r = 6/2 r = 3 cmr=6/2r=3cm

Then, the volume will be:

V = (1/3) * (3.14) * (3 ^ 2) * (10) V = 94.2 cm ^ 3V = (1/3) ∗ (3.14) ∗ (3

2

) ∗ (10) V=94.2cm

3

Answer:

The volume of the cone is given by:

V = 94.2 cm ^ 3V=94.2cm