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What is the height of this cone?

What is the height of this cone?-example-1
User Nttakr
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1 Answer

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20 votes

Answer:

height is = 3/2 ft

Explanation:

a cones volume can be represented by 1/3(h)(pi)(r^2)

we must go backwards to find this question out

if the diameter is 2/3 then the radius is 1/3

then you must square that

that is 1/3 * 1/3 which is 1/9

1/9(1/3)(pi)(h) is 1/18(pi)

we can remove pi from both sides and multiply the 1/9 and the 1/3

1/27(h) = 1/18

we must find the lcm or least common multiple to figure this out

the lcm is 54

1/27 is essentially 2/54 and 1/18 is 3/54

2/54(h) = 3/54

we can multiply each side by 54

2h = 3

divide 2 on both sides

h is 3/2

User Zorro
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