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Scorpion4ik [409]
3 years ago
13

The volume of two spheres is shown:

Mathematics
1 answer:
12345 [234]3 years ago
8 0

Answer:

≈ 1.3 inches

Step-by-step explanation:

Given that:

  • Sphere A = 30 cubic inches
  • Sphere B = 10 cubic inches

As we know, the formula to find the volume of a sphere is;

V = π\frac{4}{3} r^{3}

So we have:

  • Sphere A = 30 cubic inches

<=> π\frac{4}{3} r^{3}  = 30

<=>r^{3}  = 90/4π

<=> r ≈ 4.13

  • Sphere B = 10 cubic inches

<=> π\frac{4}{3} r^{3}  = 10

<=> r^{3} = 30/4π  

<=>  r ≈ 2.86

So the  different between the radius of sphere A and B is:

= 4.13 - 2.86

= 1.27

≈ 1.3 inches

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Hello! For this sequence, you are decreasing. In this case, A and C are definitely out, because they are positive, not negative. The formula for sequence is a1 + (n -1)d, where a1 = first term and d = common differnce, The first term is 12 and the common difference is -6. "n" is the order of the sequence and n = 30. 30 - 1 is 29. 29 * -6 is -174. Now, we add 12 to that total and when we add, we subtract the numbers, and then place the negative sign back in. 174 - 12 = 162. Plug in the negative symbol to get -162. There. -162 is the 30th term in the sequence. The answer is D: -162.
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