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Maurinko [17]
2 years ago
15

Josh has a cone 1/2 the height of a cylinder. The cylinder and the cone have congruent bases. He fills the cylinder with water f

rom the cone. How many cones of water does it take to completely fill the cylinder?
Mathematics
1 answer:
Artist 52 [7]2 years ago
8 0

The number of cones it would take to completely fill the cylinder is 6 cones.

<h3> How many cones of water does it take to completely fill the cylinder? </h3>

Let us assume that the dimensions of the cylinder are:

  • height = 10
  • radius = 6

Volume of a cylinder = πr²h

π = 22/7

r = radius

6² X 10 X π= 360π

Volume of a cone = 1/3(πr²h)

  • π = 22/7
  • r = radius
  • h = height = 10/2 = 5

Volume =1/3 x  5 x 6² x π = 60π

Number of cones it would take to fill the cylinder = 360 / 60 = 6 cones

To learn more about the volume of a cone, please check: brainly.com/question/13705125

#SPJ1

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Andre has enough to fill 3500 in.3.. he decides to change the length of the step so that he will use all of the cement. What wil
Mrac [35]

Answer:

43.75 inches or 43 and 3/4 inches.

Step-by-step explanation:

Ok, thanks for the complement of information.

So, to find the volume of that step, which is a rectangular prism, we would use the simple formula:

V = length *  width * height

In this case, we have the total volume (3,500 cu in), we have the width (10 inches)  and we have the height (8 inches).  But we need to find out the new length in order for him to use all 3,500 cu in of cement.

So, we transform the formula above into:

length = V / (width * height)

then we plug-in the numbers:

length = 3,500 / (8 x 10) = 3,500 / 80 = 43.75

So, the new length of the step would be 43.75 inches or 43 and 3/4 inches.

7 0
3 years ago
If f(x)=2x^4-3x^3+2x^2+x-3, explain how you know that the equation f(x)=0 has at least one real root between x=1 and x=2
hodyreva [135]

Answer:

Step-by-step explanation:

by theorem :

f continu in [1 , 2]

f(1)×f(2) < 0 because : f(1) = -1 and f(2) = 15

so the equation f(x)=0 has at least one real root between x=1 and x=2

so :

7 0
3 years ago
Rahul earns 21,000 in 7 months.
tekilochka [14]

Answer:

a _ 12×21000/7 = 36000

b _ 33 × 7 / 21000= 11 months

8 0
2 years ago
A game has a circular playing area in which you must hit a ball into a circular hole. The area of the playing area is 16ft2. The
frez [133]

Considering the area of the hole, it is found that there is a 4.9% probability of hitting a ball into the circular hole.

<h3>What is the area of a circle?</h3>

The area of a circle of radius r is given by:

A = \pi r^2

In this problem, the hole has a diameter of 1 ft, hence it is radius is of r = 1 ft/2 = 0.5 ft, and it's area is given by:

A = \pi \times (0.5)^2 = 0.7854 \text{ft}^2

Hence the probability is given by:

p = 0.7854/16 = 0.049 = 4.9%

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

5 0
2 years ago
310=-6.2f<br> f=??? so confused
Mariulka [41]
F=-50 as multiplying it by -6.2 would give you a positive 310
6 0
3 years ago
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