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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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$210 bicycles; 25% discount
cricket20 [7]

Answer: $157.50 is the sale price

Step-by-step explanation:

because there is a 25% discount, 75% of the regular price will be the sale price

75% x 210 = $157.50 is the sale price

3 0
3 years ago
Tom drops a coin from the top of a building. Tom is 90 meters from the ground when he drops the coin. A) What is the height of t
Delvig [45]
Disregarding air friction, the distance traveled by an object due to gravity is : H = 0.5*g*t^2.   g is the gravitational constant at the surface of earth.  

g= 9.81 m/s^2  

After 3 seconds, Distance = .5*9.81*9 = 44.15 meters traveled.   

Since it was dropped from a height of 90 meters, the current height is 90 - 44.15 = (a) 45.85 meters  

(b) It has to travel 90 meters to hit the ground . So we must find t  

Using the same equation  

t = (2*H/g)^.5 

 t = (2*90/g)^.5 = 4.28 seconds until it hits the ground
3 0
3 years ago
Which of the following shows an example of the commutative property of multiplication
Mars2501 [29]
<h3>Answer: Choice C</h3>

2 x 3 = 3 x 2

Explanation:

The commutative property of multiplication says we can multiply any two numbers in any order we want. The general rule is a x b = b x a, where x represents the multiplication symbol. The 'a' and 'b' can be any two numbers you want.

Choice C shows an example of this. Either side simplifies to 6.

Another example would be 4 x 5 = 5 x 4 where both sides become 20.

7 0
3 years ago
What is the volume of the pyramid in cubic millimeters? a rectangular pyramid with a base of 21 millimeters by 18 millimeters an
grandymaker [24]

The volume of the rectangular pyramid with the given dimensions is: 1,890 cubic millimeters.

<h3>What is the Volume of a Rectangular Pyramid?</h3>

Volume of rectangular pyramid = 1/3(length × width × height)

Given the following:

  • Length = 21 mm
  • Width = 18 mm
  • Height = 15 mm

Volume of the rectangular pyramid = 1/3(21 × 18 × 15)

Volume of rectangular pyramid = 1,890 cubic millimeters.

Learn more about volume of rectangular pyramid on:

brainly.com/question/924442

#SPJ4

8 0
3 years ago
The length of chen’s office is 15.5 feet and the width is 7.8 feet find of the office
Dafna11 [192]

Answer:

The area of Chen's office (if that's what you're looking for) is 120.9 feet

Step-by-step explanation:

All I did was a = lw, the formula for finding the area of something using length and width

a = lw

a = 15.5 × 7.8

a = 120.9

Hope this helped.

4 0
3 years ago
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