Question

A conical paper cup has dimensions as shown in the diagram. How much water can the cup hold when full? D=6 H=10

Answer 1

The volume of a cone is given by the formula:

$V=\frac{1}{3}\pi r^{2}h$

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:

$V=\frac{1}{3}\pi (3)^{2}{10}\\V=\frac{1}{3}\pi (9)(10)\\V=\frac{1}{3}\pi(90)\\V=30\pi$

In decimal, it is, $30\pi=94.2$

ANSWER: 30$\pi$ cubic units OR 94.2 cubic units

Answer 2

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