Respuesta :

The volume of the cup would be 82.74.  I used to formula  Volume=  pi* radius squared * height 

The volume of a cone is given by the formula:

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

Given,

D = 6 and H = 10 [D is Diameter and H is Height]

(note: radius is half of diameter. Diameter given is 6, so radius is 3)

Plugging r = 3 & h = 10 into the formula above, we get:

[tex]V=\frac{1}{3}\pi (3)^{2}{10}\\V=\frac{1}{3}\pi (9)(10)\\V=\frac{1}{3}\pi(90)\\V=30\pi[/tex]

In decimal, it is, [tex]30\pi=94.2[/tex]


ANSWER: 30[tex]\pi[/tex] cubic units OR 94.2 cubic units