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Ivenika [448]
3 years ago
12

The volume of a sphere is 3,0001 m. What is the surface area of the sphere to the nearest square meter?

Mathematics
2 answers:
Wewaii [24]3 years ago
8 0

Answer:

503 m²

Step-by-step explanation:

Step 1:  Determine the radius of the sphere from the volume-of-a-sphere formula V = (4/3)πr³:  Here, V = 3,000 m³ = (4/3)πr³.  We divide both sides by (4/3)π to obtain r³:  

        3,000 m³        9,000 m³

r³ = ------------------ = ----------------- = 716.20 m³

           (4/3)π                4π

The surface area is A = 4πr².  We can obtain r² by raising both sides of r³ = 716.20 m³ to the power (2/3):

r² = [r³]^(2/3) = r²     and      716.20^(2/3).  Then:

r² = 80.05 m².

Then the surface area is A = 2πr² = 2π(80.05 m²) = 503 m² (to the nearest square meter)

viva [34]3 years ago
6 0

Answer:

approximately 21484

Step-by-step explanation:

Volume= 4/3 pi r^3

30001= 4/3 pi r^3

solve for r to get 41.34747142

Then, use surface area formula

SA= 4pi r^2

SA=4pi(41.34747142)^2

SA= 21483.6355

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Is this graph a function or not a function?
weeeeeb [17]

Answer:

It is a function.

Step-by-step explanation:

You can test if a graph is a function if you draw a vertical line anywhere on the graph and you see it hits two points.

This is the table for the graph.

\left[\begin{array}{ccc}x&y\\-3&0\\0&1\\3&2\end{array}\right]

Remember these rules:

  • Each x value, or input, has its unique y value, or output
  • If you draw a vertical line anywhere on the graph, it should only go through one point

We can check these two rules for this graph:

  • Does each x value have its own, unique y value? Yes
  • If you draw a vertical line anywhere on the graph, does it only go through one point? Yes, there are no overlaps

Keep in mind that two different x-values can have the same y value.

Figure 1:

It has two x values with the same y-values.

Figure 2 and 3:

The vertical line goes through two points. So the same x-value has two different y-values.

-Chetan K

4 0
2 years ago
The area of Brians rectangular Garden in square feet can be found by using the expression 6(2 x + 5y) Use the distributive prope
algol [13]
Given the area, to rewrite the function using distributive property we get:
6(2x+5y)
using distributive property we open the parenthesis, this will give us:
6×2x+6×5y
simplifying the above we get
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Answer: 12x+30y
6 0
3 years ago
PLZ HELP ME I REALLY NEED IT
kenny6666 [7]

r = 2 inches

total h of the cylinder = 6+6+6 = 18 inches

SA = 2\pi {r}^{2}  + 2\pi \: rh

= 2\pi \: r(r + h)

= 2 \times 3.14 \times 2(2 + 18)

= 2 \times 3.14 \times 2 \times 20

= 251.2square \: inches

4 0
4 years ago
Evaluate the expression for a = 5, b = 11, and c = 3. 2a + 2c(b − 5) A. 64 B. 46 C. 54 D. 163
Artemon [7]

2a +2c(b-5)

substitute a=5 b=11 c=3

2(5) +2(3) (11-5)

10+6(6)

10+36

46

Choice B


8 0
3 years ago
Add.
Reika [66]

Answer:

The answer to the first question is 7.15

The answer to the second question is 1.73

4 0
3 years ago
Read 2 more answers
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