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maria [59]
3 years ago
11

A cone with a radius of 3" has a total area of 24π sq. in. Find the volume of the cone.

Mathematics
2 answers:
Rus_ich [418]3 years ago
5 0
The answer is 12π.

To get the volume of the cone, we need the height. The radius is given.

V = πr² × (h/3)

The total surface area of the cone is:
SA = πr² + πrl where r is radius and l is slant height

24π = π(3)² + π(3)(l)
24π = 9π + 3πl
24π - 9π = 3πl
15π = 3πl
l = 15π / 3π
l = 5

Using Phytagoras, we can calculate the height of the cone:
l² = h² + r²
5² = h² + 3²
25 - 9 = h²
h = √16
h = 4

Therefore the volume is:
V = π(3)² × (4 / 3)
V = 3π × 4
V = 12π
Kobotan [32]3 years ago
3 0

The volume of the cone is: 12 pi

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2 years ago
3x^2 -5x -2=0
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Answer:

Step-by-step explanation:

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Two numbers that work are -6 and +1

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I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.

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6 0
3 years ago
Read 2 more answers
Nas funções f(x) = -3x+9; f(x) = 2x-4 e f(x) = 5x-5, caso construamos seus respectivos gráficos, informe respectivamente os pare
Likurg_2 [28]

1st option

{(3,0) e (0,9)}; {(2,0) e (0,-4)}; {(1,0) e (0,-5)}

see screenshot

sorry btw, no hablo espanol

8 0
2 years ago
Express the following repeating decimal as a fraction in simplest form.
Ivenika [448]

Answer:

0.\overline{369} = \frac{41}{111}

Step-by-step explanation:

x = 0.369369369...

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1000x = 369.369369...

1000x - x = 369

999x = 369

x = \frac{369}{999} \\\\x = \frac{123}{333}\\\\x = \frac{41}{111}

4 0
3 years ago
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