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

Answer 2

The volume of a cone is given by the formula:

`V=(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=(1)/(3)\pi (3)^(2){10}\\V=(1)/(3)\pi (9)(10)\\V=(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