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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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Chocolate is now a sweet treat that is very popular in the united states.

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I really need help with this 6th grade work due today
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5

Step-by-step explanation:

Length (L) = u

Breadth (b) = 6 mi

Perimeter (P) = 22 miles

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P = 2 (L+ b)

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78 : 120 :: ? : 66<br>please give answer with explanation<br>​
yawa3891 [41]

Step-by-step explanation:

<u>Method</u><u> </u><u>1</u><u>:</u>

Given that:

78 : 120 :: ? : 66

Here,

Product of extremes = 78 and 66

Product of means = 120 and ?

so,

(78*66) = (120 * ?)

⇛5148 = 120 * ?

⇛5148 = 120?

⇛120? = 5148

Shift the number 120 from LHS to RHS, changing it's sign.

⇛? = 5148/120

Therefore, (?) = 42.9

<u>Method</u><u> </u><u>2</u><u>:</u>

78 : 120 :: ? : 66

Convert each ratio into fraction.

⇛78/120 = ?/66

On applying cross multiplication then

since, (a/b) = (c/d) ⇛cd = ad

Where, a = 78, b = 120, c = ? and d = 66

Now,

⇛(120)? = (78)66

⇛120? = 5148

⇛(?) = 5148/120

Therefore, (?) = 42.9

<u>Ans</u><u>w</u><u>er:</u> Hence the value of (?) for the given problem is 42.9.

<u>Verification</u><u>:</u>

Check whether the value of (?) is true or false.

78 : 120 :: ? : 66

Substitute the value of (?).

⇛78:120 = 42.9:66

Product of extremes should be equal to product of means.

Product of extremes:- 78*66 = 5148

Product of means:- 120*42.9 = 5148

⇛5148 = 5148

LHS = RHS

Hence, verified.

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You have to factor by grouping.
(4a - 5) (a + 4)
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