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Goshia [24]
3 years ago
11

How to solve this question #4 ?

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
7 0
I think it would be D.  4500 pi cm cubed
gayaneshka [121]3 years ago
5 0
This question is a piece-o-cake if you know the formulas for the area and volume of a sphere, and impossible of you don't.

Area of a sphere = 4 π R²  (just happens to be the area of 4 great circles)

Volume of a sphere = (4/3) π R³

We know the area of this sphere's great circle, so we can use the
first formula to find the sphere's radius.  Then, once we know the
radius, we can use the second formula to find its volume.

Area of 4 great circles = 4 π R²

Area of ONE great circle = π R²

           225 π cm²  =  π R²

               R²  =  225 cm²

               R  =  √225cm²  =  15 cm .

Now we have a number for R, so off we go to the formula for volume.

         Volume  =  (4/3) π R³

                      =  (4/3) π (15 cm)³

                      =  (4/3) π (3,375 cm³)

                       =      14,137.17  cm³      (rounded)

This answer feels very good UNTIL you look at the choices.
_____________________________________________________

I've gone around several loops and twists trying to find out what gives here,
but have come up dry.

The only thing I found is the possibility of a misprint in the question:  

If the area of a great circle is 225π cm², then the sphere's AREA is 900π cm².

I'm sure this is not the discrepancy.  I'll leave my solution here, and hope
someone else can find why I'm so mismatched with the choices.
You might be interested in
Im putting all the questions in one to make it easier
Rufina [12.5K]

I'll focus on problem 19 and problem 22

============================================================

Problem 19

Answers:

  • x = 87
  • x+15 = 102

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

Explanation:

The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.

Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.

x+15 = 102

x = 102-15

x = 87

Which leads to

x+15 = 87+15 = 102

============================================================

Problem 22

Answer: y = 27

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

Explanation:

We have a pair of alternate exterior angles. They are congruent due to the parallel lines.

Let's solve for y.

7y-55 = 3y+53

7y - 3y = 53+55

4y = 108

y = 108/4

y = 27

5 0
3 years ago
What is the amount of a $4,000.00 annuity due at 12 percent compounded semiannually for 3 years?
Dmitriy789 [7]

Answer:

$ 5674.076

Step-by-step explanation:

The question is on compound interest

The formulae = A= P(1+ r/n) ^nt .......where P is the principal amount, r is the rate of interest in decimal, n is number of compoundings per year and t is the total number of years.

Given; P= $4,000.00 , r=12/100=0.12, n=2 and t=3

Substituting values in the equation  A= P(1+ r/n) ^nt

A= 4000 ( 1+0.12/2)^2×3

A=4000(1.06)^6

A=$ 5674.08

3 0
3 years ago
X/3 equals 1351 over seven
Fantom [35]
X/3=1351/7
cross multiply
7x=4053
divide by seven on both sides
x=579
5 0
3 years ago
The question is below pls help.
AysviL [449]

Answer:

The answer is 153.8

Step-by-step explanation:

To find the perimeter you sum all the sides. 5.9+12.3+12.3+10.9+12.3+23.2+18.2+10.9+12.3+35.5= 153.8

4 0
3 years ago
All of the following were barred from receiving pardons from the Federal government after the Civil War EXCEPT
zepelin [54]
2 confederate officers
7 0
3 years ago
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