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Sergio039 [100]
3 years ago
10

What is the volume of a cone (in cubic inches) with a radius of 2 inches and a height of 3 inches?

Mathematics
2 answers:
HACTEHA [7]3 years ago
8 0
Hello! The formula for the volume of a cone is πr^2h1/3. That means the volume of the cone is 1/3 of the base (squared radius * height * pi). The radius is 2 inches. 2^2 is 4. The height is 3 inches. 4 * 3 is 12. Pi is an irrational number that repeats, but we can use 3.14 as pi. 12 * 3.14 is 37.68. Keep in mind that this is an answer choice, but it is not the answer. We have to divide that by 3 to find the actual area, because the area of the cone is 1/3 of the base. 37.68/3 is 12.56. There. The volume of the cone is 12.56 cubic inches. The answer is A.
andrey2020 [161]3 years ago
7 0

Answer:

12.56 cubic inches

Step-by-step explanation:

I JUST TOOK THE TEST

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Please help and explain how to do this
Mnenie [13.5K]

Answer:

  4√3

Step-by-step explanation:

The distance formula applies. It tells you ...

  distance = √((x2 -x1)² +(y2 -y1)²)

Filling in the given values, you have ...

  distance = √((-√32 -(-4√2))² +(2√3 -(-√12))²)

  = √((-4√2+4√2)² +(2√3 +2√3)²)

  = √(0 + (4√3)²)

  distance = 4√3

___

We make use of the fact that ...

  a\sqrt{b}=\sqrt{a^2b}\\\\\sqrt{32}=\sqrt{16\cdot 2}=4\sqrt{2}\\\\2\sqrt{3}=\sqrt{2^2\cdot 3}=\sqrt{12}

3 0
3 years ago
Old Mc Donald raises ducks and cows. The animals have a total of 100 heads and 354 feet. How many ducks and how many cows does O
dlinn [17]

Answer:

The number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.

Step-by-step explanation:

We are given that Old Mc Donald raises ducks and cows. The animals have a total of 100 heads and 354 feet.

Let the number of ducks Old Mc Donald raises be 'x' and the number of cows Old Mc Donald raises be 'y'.

So, according to the question;

  • The first condition states that the animals have a total of 100 heads, that means;

                                   x+y=100

                                    x=100-y  -------------------- [equation 1]

{because one head of a duck and one head of cow}

  • The second condition states that the animals have a total of 354 feet, that means;

                                   2x+4y=354

                                   x+2y=177   --------------- [equation 2]

{because there are two feet of a duck and four feet of cow}

Now, putting the value of x in equation 2 we get;

                                  100-y+2y=177

                                  y=177-100

                                    y = 77 cows

Putting this value of y in equation 1 we get;

                                 x = 100 - y

                                 x = 100 - 77 = 23 ducks

Hence, the number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.

4 0
3 years ago
Hey factory can produce fifth refrigerators in eight hours how many hours would it take to produce 1250 refrigerators
jarptica [38.1K]

Hey, I'm assuming you mean five refrigerators every eight hours. So . . .

1250 divide by 5. Which gives you 250.

Then take that 250 and multiply it by 8, and you have 2000.

So it would take 2000 hrs for a factory, that can produce 5 refrigerators every eight hours to, produce 1250 refrigerators.

6 0
3 years ago
Read 2 more answers
Which expression is a sum of cubes?
luda_lava [24]
   
-27x^9+y^6 = (-3)^3\times \Big(x^3\Big)^3 + \Big(y^2\Big)^3=\boxed{\Big(-3x^3\Big)^3+\Big(y^2\Big)^3}



5 0
3 years ago
Read 2 more answers
Escreva na forma ax2+bx+c=0 as seguintes equações do 2° grau
7nadin3 [17]
The answer is 2x(5+3)
3 0
3 years ago
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