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Deffense [45]
3 years ago
8

What is the volume of the sphere with a 12 cm radius

Mathematics
1 answer:
professor190 [17]3 years ago
6 0

Answer:

2304 pi cm^3

Step-by-step explanation:

The equation is 4/3(pi)(r^3). From there, you can just plug in the given radius value and solve the equation!

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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.

4 0
2 years ago
How much longer is 108 inches from 98 inches
WARRIOR [948]

Answer:

b.10 inches

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Of the 60 books on a bookshelf, 24 are nonfiction.what percent of the books are nonfiction
Vinil7 [7]
40% of the books are nonfiction
6 0
3 years ago
Read 2 more answers
A sheet cake and a birthday cake are both made from the same batter. The sheet cake is in the shape of a rectangular prism that
NISA [10]
Volume of the sheet cake:
V ( prism ) = 12 * 9 * 2 = 216 in³
Volume of the birthday cake:
V ( cylinder ) = r² * π * h = 4.5² * 3.14 * 4 = 254.34 in³
Then we will use the proportion :
216 : 254.34 = 36000 : x
216 x = 254.34 * 3600
216 x = 915,660
x = 915.660 : 216
x = 4,239.17 ≈ 4,240
Answer:
d. 4,240
7 0
3 years ago
Read 2 more answers
The vertex of this parabola is at (2,-4). When the y-value is -3, the x-value is
Fed [463]

Answer:

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

here (h, k) = (2, - 4), thus

y = a(x - 2)² - 4

To find a substitute (- 3, - 3) into the equation

- 3 = a(- 3 - 2)² - 4

- 3 = 25a - 4 ( add 4 to both sides )

1 = 25a ( divide both sides by 25 ), hence

a = \frac{1}{25}

y = \frac{1}{25} (x - 2)² - 4 ← in vertex form

  = \frac{1}{25} (x² - 4x + 4) - 4 ← in expanded form

Hence the coefficient of the x² term is \frac{1}{25}

6 0
3 years ago
Read 2 more answers
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