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erik [133]
3 years ago
7

The cone and cylinder above have the same radius, r, and height, h. The volume of the cone is 69 cubic centimeters. What is the

volume of the cylinder?
A. 138 cubic centimeters
B. 207 cubic centimeters
C. 23 cubic centimeters
D. 276 cubic centimeters

Mathematics
1 answer:
MatroZZZ [7]3 years ago
8 0

Answer:

207 cubic centimeters

Step-by-step explanation:

Given

volume of cone  = 9 cubic centimeters

Since the cone and cylinder above have the same radius, r, and height, h, then r = h

volume of the cone = 1/3πr²h

69 =  1/3πr²h

πr²h = 69*3

πr²h = 207cubic cm

Since the volume of the cylinder =  πr²h

Hence volume of the cylinder is 207 cubic centimeters

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Peter planted 5/12 of his garden with asparagus and 3/12 with beans.
UkoKoshka [18]
Answer: He has planted 2/3 and there is 1/3 left to plant.

Explanation: You need to add your fractions together, because each of those is a section of the garden and you need the total of how much of the garden he has planted.

This isn’t too difficult because the denominators are the same.

5/12 + 3/12 = 8/12

It is 8/12 because since the denominators are the same, you just need to add the numerators. Imagine you have a pie that’s cut into 12 pieces, and you and your friends take 5, and then your family takes 3. How many or gone now? 8 pieces. From how many pieces? 12 pieces. So 8/12 pieces are gone.

So Peter has planted 8/12 of his garden. This however, can be simplified, because both of those numbers divide by 4.

8/4 = 2
12/4 = 3

So 8 is now 2, and 12 is now 3.

This is now 2/3.

If there is 2/3 gone, you need to figure out how much is left to get you to 1.

In this instance, 1 can be rewritten as 3/3, because 3 divided by 3 is 1.

In order to get from 2/3 to 1, you need to add 1/3, one more third to the two thirds you already have.

This means Peter has 1/3 left to plant.

Hope this helps :)

7 0
3 years ago
What is the common multiples of 5,3,8
tangare [24]

Answer:

120.

Step-by-step explanation:

If you're asking for LCM the answer is 120.

3 0
3 years ago
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Henry's uncle from Japan promised to give him 35 g of gold. The local jewelry exchange will buy gold for $1224 per ounce. How mu
galina1969 [7]

Answer:

$1530

Step-by-step explanation:

First of all, it is required to convert 35g of gold into ounce.

Since,

1 oz = 28 g

or, we can write,

1 g = \frac{1}{28} oz

Now, for 35 g of gold, we can write,

35 * 1 g = 35 * \frac{1}{28} oz\\35 g = 1.25 oz

Since, local jewelry will buy at $ 1224 per oz, and we have 1.25 oz of gold, so,

1.25 * 1244\\$1530

4 0
3 years ago
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In ▵DEF, m ∠ D = 53 and m ∠ F = 68. What is m ∠ E?
Marizza181 [45]

Answer: 59

Step-by-step explanation:

a triangle always equals 180 degrees. a+b+c= 180 so you would solve for e, 53+68+e= 180

4 0
3 years ago
Solve the following equation using the quadratic formula.
konstantin123 [22]

Answer:

x = 4   ±9i

Step-by-step explanation:

x^2 - 8x + 97 = 0

Complete the square by subtracting 97 from each side

x^2 - 8x =- 97

Take the coefficient of x

-8 and divide by 2

-8/2 = -4

Then square it

(-4)^2 = 16

Add it to each side

x^2 - 8x + 16 = -97+16

(x-4)^2 = -81

Take the square root of each side

x-4 = ±sqrt(-81)

x-4 = ±9i

Add 4 to each side

x = 4   ±9i

5 0
3 years ago
Read 2 more answers
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