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Olin [163]
3 years ago
10

The ratio of volume of a cone and a hemisphere of same base radius and height is?

Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0

Answer:

1/2

Step-by-step explanation:

Since it is given that the cone and the hemisphere have the same height, and since the height of a hemisphere would be equal to its radius, the cones height must also be equal to its base radius.

With this information we can use the respective volume formulas.

Hemisphere:  \frac{2}{3}πr^3

Cone:  \frac{1}{3}πhr^2

Since h (height) = r we can say the cone volume equals:

\frac{1}{3}πr^3

Now to find the ratio we divide the cone volume equation by the hemisphere volume equation

pi and r^3 cancels out from the division and we are left with

ratio = (1/3)/(2/3)

ratio = 1/2

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To get ready for the big community bake sale a baker is baking cookies.For his first batch he makes 48 cookies second 78 cookies
mina [271]

Answer:

62

Step-by-step explanation:

To find the mean, add the numbers together and divide the sum by the total amount of numbers.

\frac{48+78+54+68}{4} =62

6 0
3 years ago
Solve for y in -8×+4y=24
s344n2d4d5 [400]

Factor out the common term 4

-4(2x - y) = 24

Divide both sides by -4

2x-y= - 24/4

Simplify24/4 to 6

2x -y = -6

Subtract 2x from both sides

-y = -6 - 2x

Multiply both sides by -1

y = 6 + 2x

5 0
3 years ago
What does the following equal? Please help me!
Juli2301 [7.4K]

Answer:

the first answer

Step-by-step explanation:

1/8 of the absolute value is 1/8 positive

anything from the absolute value is positive because absolute value is the value of how far away the number is from zero.

3 0
2 years ago
Read 2 more answers
I’m not sure what to do, this was what I got. Someone please help and solve problem #14 in the picture. Thanks!
mars1129 [50]

Answer:

  • x = 8
  • AM = BM = 16

Step-by-step explanation:

Your problem setup is correct. The triangle is isosceles, so the marked segments are the same length.

  3x - 8 = 2x

You can solve this by subtracting 2x (from both sides) ...

  x - 8 = 0

Then adding 8 (to both sides):

  x = 8

MB = MA = 2x = 16.

4 0
3 years ago
Factor completely 8x5 2x4 4x2. Prime 2(4x5 x4 2x2) 2x(4x4 x3 2x) 2x2(4x3 x2 2).
Alecsey [184]

The complete factor of the expression \rm 8x^5 + 2x^4 + 4x^2 is \rm 2x^{2} (4x^3 + x^2 + 2 )correct option is D.

<h3>What is a factorization?</h3>

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression is \rm 8x^5 + 2x^4 + 4x^2.

To solve the expression properly we have to take common (2x²). Then we have

\rm 8x^5 + 2x^4 + 4x^2\\\\2x^{2} (4x^3 + x^2 + 2 )

The factor is \rm 2x^{2} (4x^3 + x^2 + 2 ).

More about the factorization link is given below.

brainly.com/question/6810544

4 0
2 years ago
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