A cylinder has a volume of 36 cubic inches. What is the volume of a cone if it has the same radius and height as the cylinder?

Mathematics

1 answer:

kicyunya [14]3 years ago

5 0

Answer:

12 cubic inches

Step-by-step explanation:

volume of a cylinder= pi*r2*height

but we are given 36 as cylinder volume.

Therefore , 36 = pi*r2* height

r2*height = 36/pi, let call this equation 1

volume of a cone = pi*r2*height/3;

but from equation 1, r2*height =36/pi, substituting this value in volume of cone.

volume of cone= pi*(36/pi)/3 = 12 cubic inches

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X2 + 5x - 50 A) (x + 25)(x - 2) B) (x - 5)(x + 10) C) (x - 10)(x + 5) D) (x + 2)(x - 25)

olga2289 [7]

Answer:

The correct answer is B) (x - 5)(x + 10)

Step-by-step explanation:

The constants at the end of the parenthesis need to add to the middle term

10 + -5 = 5

And they need to multiply to the end term

-5 * 10 = -50

This makes it the correct choice.

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3 years ago

One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he conuted 74 heads and 196 l

Komok [63]

A human has 1 head and 2 legs.
A horse has 1 head and 4 legs.

Let's make two equations from what we know.

There were a total of 74 heads.
There were a total of 196 legs.

Let's call humans 'x' and horses 'y'

The total number of heads were 74.
Humans have 1 head, and so do horses.

Our first equation is:
x + y = 74

There were a total of 196 legs.
Humans have 2 legs, and horses have 4 legs.

Our second equation is:
2x + 4y = 196

Our two equations are:

x + y = 74
2x + 4y = 196

We need to solve this system of equations to find out how many humans and horses were at this racing event.

Multiply the first equation by 2.

2(x + y) = 2(74)
2x + 2y = 148

Our two equations are:

2x + 2y = 148
2x + 4y = 196

Subtract the first equation from the second equation.

2x - 2x + 2y - 4y = 148 - 196
2y - 4y = 148 - 196
-2y = - 48

Divide both sides by -2

y = 24

That means that there were 24 horses.

We can plug back in y = 24 into our first equation to find out how many humans there were.

x + y = 74
x + 24 = 74
x + 24 - 24 = 74 - 24
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There were 50 humans.

At the horse racing event, there were 24 horses and 50 humans.

Your final answer is B. 24 horses and 50 humans.

7 0

3 years ago

Read 2 more answers

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stiks02 [169]

We can solve this by using systems of equations.

Let's find our first formula, how much money was made using the tickets.

$5.20x + 9y = 1027.80$

Here x is how many child tickets we sold and y is how many adult tickets we sold. Now that we have defined that, we can make another formula for the total tickets sold!

$x + y = 156$ since we sold 156 tickets that could be any combination of child and adult tickets.

Let's solve this system. I'm going to use <em>substitution</em> so I'm going to take our second formula and subtract both sides by x to get $y = 156 - x$ .