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

2 Answers

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

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

User Charles Randall
by
6.9k points

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