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