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Burka [1]
3 years ago
8

A plastic ball is filled with gel to make a stress ball. If the ball has a radius of 4 cm, how much

Mathematics
1 answer:
Dafna1 [17]3 years ago
3 0

Answer:

267.947 cm^{3} of gel is required to fill the plastic ball.

Step-by-step explanation:

<em>The radius of the ball is given as 4 cm.</em>

<em>The gel is filled in the plastic ball, that means the gel occupies the volume of the radius.</em>

The volume of the sphere is given by the formula,

V = \frac{4}{3}(\pi)R^{3} , the R is the radius of sphere.

V = \frac{4}{3}(\pi)(4)^{3} = 267.947 cm^{3}

Thus, the volume of gel required to fill the plastic ball to make it stress ball is

267.947 cm^{3} of gel.

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Here s and x are calculated from calculator.
Now,
for significance level
1-α=90%
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α=0.1
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As population variances are unknown for both Male and female so the best suitable formula is

    (x₁ - x₂) ± tα/2,v₁ * \sqrt{ \frac{s_1^2 }{n_1} + \frac{s_2^2}{n_2} }
   ........1

where v(degree of fredom)=(s₁²/n₁+s₂²/n₂)² / ((s₁²/n₁)²/n₁-1)+(s₂²/n₂)²/n₂-1))
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From Statistics table,
      See the t table at α/2=0.05  and v=3.81026
use interpolation as v value is not in the table,
      3.81026-3/4-3 = x-3.182/2.776-3.182
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by putting values in eq. 1 we get
  
(60.666-58.333) ± (2.853)*\sqrt{ \frac{35.005^2 }{3} + \frac{43.924^2}{3} }      

  2.333 ± 92.516 is the correct answer.


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