Question

Select the correct answer.

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

Answer 1

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