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irina [24]
3 years ago
6

A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 1/3x. Find the height of

the cone in terms of y.
Mathematics
1 answer:
Temka [501]3 years ago
7 0

Great question! I had this question in Geometry on Edmentum.

Answer: Height of cone = 3y

Step-by-step explanation:

We know that the cylinder and the cone have the same volume. The cylinder has radius x and height y. We will make use of the formulas:

Volume of cylinder = πr²h

Volume of cone = 1/3πr²h

Since the cone has radius 1/3x, we will have to make its height 3 times of y (the height of the cylinder) to make both the cylinder and the cone have the same volume.

So, the height of the cone is equal to 3y.

Hope this helps, and have a wonderful day! :D

Please mark me brainliest! I don't have trouble getting points, but I do when it comes to brainliest.

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Each piece will be 6 inches, and there will be 7 I believe.

7 0
3 years ago
Which transformation will map figure Honto figure H? (1 point)
podryga [215]

Answer:

2) Vertical translation of 10 units

Step-by-step explanation:

Given

H and H'

Required

Which maps H to H'

First, we pick the coordinate of any point on H

H(x,y) = (4,2)

First, we pick a corresponding coordinate on H'

H'(x,y) = (4,-8)

The above coordinates show that H and H' are not a reflection of one another because neither of the x or y coordinates negate one another.

By looking at the coordinates of H and H, we have:

H: x = 2 and H':x = 2 ---  The same x coordinates

H: y = 2 and H': y = -8 --- Different y coordinates

The difference between the y coordinates is:

Difference  = H(x) - H'(x)

Difference  = H(2) - H'(2)

Difference  = 2 - (-8)

Difference  = 2 +8

Difference  = 10

Hence,

<em>2) Vertical translation of 10 units </em> is correct.

3 0
3 years ago
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strojnjashka [21]
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4 0
3 years ago
Which statement about 2(x+4) is true. Possible answers: :2(x+4) is a quotient :2(x+4)is a product of three factors :2(x+4)has 4
horrorfan [7]
Is a product of three factors
4 0
2 years ago
Read 2 more answers
F(x) = x2 + 1 g(x) = 5 – x<br><br> (f + g)(x) =
Gnom [1K]

Answer:

(f + g)(x) =  {x}^{2} - x + 6

Step-by-step explanation:

We have

f(x) =  {x}^{2}  + 1

and

g(x) = 5 - x

We want to find (f+g)(x).

By the algebraic properties of polynomial functions,

(f + g)(x) = f(x) + g(x)

(f + g)(x) =  {x}^{2}  + 1 + 5 - x

This simplifies to

(f + g)(x) =  {x}^{2}  - x + 6

We can't simplify further, hence the simplest form

4 0
3 years ago
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