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sasho [114]
3 years ago
7

Which container holds the most?

Mathematics
1 answer:
goldenfox [79]3 years ago
6 0
Cylinder:

V = pi * r^2 * h

V = 3.14 * 9^2 * 11

Simplify exponent:

V = 3.14 * 81 * 11

Multiply:

V = 2797.74

Sphere:

V = 4/3 * pi * r^3

V = 4/3 * 3.14 * 9^3

Simplify exponent:

V = 4/3 * 3.14 * 729

Multiply:

V = 3052.08

Cone:

V = 1/3 * pi * r^2 * h

V = 1/3 * 3.14 * 12^2 * 20

Simplify exponent:

V = 1/3 * 3.14 * 144 * 20

Multiply:

V = 3014.4

So the Sphere holds the most.
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Solve for x <br> x-31=-90<br><br> show how you got the answer
Vinil7 [7]

Answer:

x= -59

Step-by-step explanation:

x-31=-90

Adding 31 to both sides we get

x-31+31=-90+31

x=-59

4 0
3 years ago
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Help,anyone can help me do quetion,I will mark brainlest.​
Serhud [2]

Answer:

a)    x = 2

b)    x = 4

Step-by-step explanation:

a = (b₁ + b₂)/2 * h

----------------------------

a)

48 = (10 + x)/2 * 8

Divide both sides by 8

6 = (10 + x)/2

multiply both sides by 2

12 = 10 + x

Subtract 10 from both sides

2 = x

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---------------------------------

b)

18 = (7 + 2)/2 * x

18 = 4.5 * x

divide both sides by 4.5

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3 years ago
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Find the tenth term of the geometric sequence, given the first term and common ratio.
Natalija [7]

Answer:

a_{10}=\dfrac{1}{128}

Step-by-step explanation:

In the geometric series:

a_1=4\\ \\r=\dfrac{1}{2}

The nth term of the geometric sequence can be calculated using formula

a_n=a_1\cdot r^{n-1}

In your case, n = 10, then

a_{10}\\ \\=4\cdot \left(\dfrac{1}{2}\right)^{10-1}\\ \\=4\cdot \left(\dfrac{1}{2}\right)^9\\ \\=2^2\cdot \dfrac{1}{2^9}\\ \\=\dfrac{1}{2^{9-2}}\\ \\=\dfrac{1}{2^7}\\ \\=\dfrac{1}{128}

8 0
2 years ago
My snack time calls for 1/2 cup raisins,2/3 cup of nuts and 1/4 cup of chocolate chips what is the combined total
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Answer:1.41666666667 or to simplify, 1.416 but the 6 is repeating so draw a bar over the 6.

Step-by-step explanation:

<h3>  </h3>
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3 years ago
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Ken can walk
pentagon [3]

Answer:

Hey.  I'm not sure if you have typos, but if you're saying ''Ken can walk 40 dogs in 8 hours, how many dogs can Ken walk in 12 hours", the answer is 60.

Step-by-step explanation:

So, we get our answer by dividing the amount of dogs Ken can walk by the amount of hours.  40/8 = 5.  He walks 5 dogs an hour.  Now that we know he walks 5 dogs an hour, we can multiply by 5 for each hour.  5 (Dogs/Hour) x 12 (Hours the dogs were walked) = 60, and that is our final answer.

7 0
2 years ago
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