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galben [10]
3 years ago
14

Volume of sphere with radius of 6

Mathematics
2 answers:
viktelen [127]3 years ago
8 0

Answer is provided in the image attached.

Solnce55 [7]3 years ago
5 0

Answer:

904.8  cm rounded (904.78 cm^3) to the nearest tenth.

Step-by-step explanation:

V= 904.8  cm rounded (904.78 cm^3) to the nearest tenth.


Step-by-step explanation:


The volume of a sphere is given as  4/3πr^3

There is only one variable, the radius, which we are given in the problem.

since the radius is 6 cm, we can plug that in to the formula

4/3π6^3


Put this into the calculator, and we see that the volume is  

904.8  cm rounded (904.78 cm^3) to the nearest tenth.



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A Rectangular has area 12a^2 and perimeter 14a what are the dimensions of this Rectangular?​
Nataliya [291]

9514 1404 393

Answer:

  3a by 4a

Step-by-step explanation:

For dimensions L and W, the area and perimeter are ...

  A = LW = 12a^2

  P = 2(L+W) = 14a

Using the second equation, we can find L:

  L +W = 7a . . . . . divide by 2

  L = 7a -W

Substituting into the area formula gives the quadratic ...

  (7a -W)(W) = 12a^2

  W^2 -7aW +12a^2 = 0 . . . . arrange in standard form

  (W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)

Then we have the two solutions ...

  W = 3a, L = 4a

  W = 4a, L = 3a

The rectangle dimensions are 3a by 4a.

5 0
3 years ago
The formula for the volume of a cylinder is v= 3.14r^2h. A cylinder has a volume of 300x feet ^3 and a radius of 5 feet
Fudgin [204]

Answer:

Height = 3.82

Step-by-step explanation:

(3.14)(5)²

(3.14)(25)

= 78.5

300 = 78.5h

300/78.5 = 78.5h/78.5

h = 3.821656051 or approximately 3.82

7 0
3 years ago
Ana drinks chocolate milk out of glasses that each hold 1/8 of a liter
maxonik [38]

Answer:

5 3/5

Step-by-step explanation:

Convert 1/8 to 10/80 and 7/10 to 56/80 56/10= 5 3/5

7 0
3 years ago
he commercial division of a real estate firm is conducting a regression analysis of the relationship between , annual gross rent
blondinia [14]

Answer:

Number of apartment = 9

Step-by-step explanation:

Given the ANOVA result :

ANOVA ____ df ____ SS

Regression __ 1 ___ 41587.1

Residual ____ 7 ___

Total _______ 8 __ 51984.5

Number of apartment building in sample (n) :

Degree of freedom (df) = n - 1

The degree of freedom = total = 8

Hence,

8 = n - 1

8 + 1 = n - 1 + 1

9 = n

Hence, number of apartment building in sample = 9

4 0
3 years ago
Newberg City Cafe recently introduced a new flavor of coffee. They served 23 grande cups and 51 jumbo cups of the new coffee tod
yuradex [85]

Answer:

Grand coffee cup = 1469 gm

Jumbo coffee cup = 60 gm

Step-by-step explanation:

Let x be the grande coffee cup and y be the jumbo coffee cup.

Solution:

From the first statement. They served 23 grande cups and 51 jumbo cups of the new coffee today, which equal a total of 36,846 grams.

So, the equation is.

23x+51y = 36846 ---------(1)

From the second statement. They served 58 grande cups and 68 jumbo cups of the new coffee tomorrow, which equal a total of 59460 grams.

58x+68y=59460 ----------(2)

Solve the equation 1 for x.

23x = 36846-51y

x=\frac{36846}{23}-\frac{51}{23}y

x=1602-\frac{51}{23}y ---------(3)

Substitute x=1602-\frac{51}{23}y in equation 2.

58(1602-\frac{51}{23}y)+68y=59460

92916-\frac{51\times 58}{23}y+68y=59460

-\frac{2958}{23}y+68y=59460-92916

\frac{-2958+1564}{23}y=-33456  

\frac{-1394}{23}y=-33456

Using cross multiplication.

y=\frac{-23\times 33456}{-1394}

y = 55.99

y ≅ 60 gram

Substitute y = 60 in equation 3.

x=1602-\frac{51}{23}\times 60

x=1602-\frac{3060}{23}

x=1602-133.04

x = 1469 grams

Therefore, grand coffee cup = 1469 gm and jumbo coffee cup = 60 gm

7 0
3 years ago
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