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Leona [35]
3 years ago
14

a cylinder has a volume of 24 cubic centimeters. The height of a cone with the same radius is two times the height of the cylind

er. What is the volume of the cone?
Mathematics
1 answer:
Anastaziya [24]3 years ago
5 0

Answer:

<h2>Volume of the cone is 16 cm³</h2>

Step-by-step explanation:

<h3 /><h3>We know that the volume of the cylinder is 24 cm³</h3><h3 /><h3>The formula for this cylinder is  24 = πr²h</h3><h3 /><h3>The cone has the same radius, but it's height is twice that of the cone, so the formula for the volume of the cone is</h3><h3 /><h3>V = (1/3)πr²(2h)                    it's 2h because it's height is twice the</h3><h3>                                                height of the cylinder</h3><h3 /><h3>We can rewrite the equation using the associative rule of multiplication...</h3><h3 /><h3>V = (2/3)(πr²h)</h3><h3 /><h3>We know from the formula for the cylinder that πr²h = 24 cm³, so substitute that in...</h3><h3 /><h3>V = (2/3)(24 cm³)</h3><h3 /><h3>Now simplify...</h3><h3 /><h3>V = 16 cm³</h3>
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choli [55]

Answer:

the amount borrowed is ≅ $527

Step-by-step explanation:

Given that;

simple interest rate r = 180%  p.a

Let the amount borrowed (principal) be $x.

time t  = 4 weeks = 28 days

= 28/365 year

= 0.0767 year

we all know that :

Simple \ \  interest = \dfrac{P*r*t}{100}

Simple \ \  interest = \dfrac{x*180*0.0767}{100}

Simple interest = 0.13806x

Total amount to be paid after 4 weeks= Interest+Principal

= x + 0.13806x

= 1.13806x

Thus;

1.13806x = $600

x = $600/ 1.13806

x = $527.21

Hence; the amount borrowed is ≅ $527

3 0
3 years ago
|10+4x|&lt;14 how do you solve this?
shutvik [7]

Answer:

-6 < x < 1

Step-by-step explanation:

-14 < 10 + 4x < 14

Subtract 10 from both sides

-24 < 4x < 4

Divide both sides by 4

-6 < x < 1

3 0
3 years ago
Read 2 more answers
A butcher has 15 and 3/4 pounds of steaks and portions them into 7 sealed packs. How many pounds does each pack of steak weigh?
Crank

Answer:

9/4 or 2 and 1/4 pounds

Step-by-step explanation:

Convert 15 and 3/4 into an improper fraction

15*4+3 = 63

63/4

63/4 ÷ 7

9/4

Thus, each pack weighs 9/4 pounds

7 0
3 years ago
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VikaD [51]
72.26 would be your answer ... :)
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4 years ago
Mr. Richard's science class is conducting a variety of experiments with projectiles and falling objects. Two groups of students
liberstina [14]
The general equation for height is:
h = -0.5gt^2 + (v0)t + h0, where g = -9.8 m/s^2 or -32 ft/s^2, v0 = initial velocity, and h0 = initial height.
1) h = -4.9t^2 + 19: -4.9 means the units are in meters, and 19 means that the initial height was 19 m, which is group C.
2) -16t^2 means the units are in feet, and 50t means that the initial velocity was 50 ft/s upwards. This is group B.
3) -16t^2 again means the units are in feet, and 50 means the initial height was 50 ft. This is group D.
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3 years ago
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