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4 years ago

The volume of a sphere is 972 ft.

Mathematics

2 answers:

Darina [25.2K]4 years ago

8 0

Answer:

r =6.146 ft

Step-by-step explanation:

The volume of a sphere is given by

V= 4/3 pi r^3

We know the volume and we approximate pi by 3.14

972 = 3.14 r^3

Divide each side by 3.14

972/3.14 = 3.14 r^3 / 3.14

309.5541401 = 4/3 r^3

Multiply each side by 3/4

3/4*309.5541401 = 3/4*4/3 r^3

232.1656051 = r^3

Take the cube root of each side

(232.1656051) ^ 1/3 = r^3^ 1/3

6.146095348 =r

r =6.146 ft

Tomtit [17]4 years ago

3 0

Answer:

r = 6.146

Step-by-step explanation:

formula for the volume is 4/3πr³

v = 4/3πr³ <u>we adjust the equation for the r</u>

r = ∛3v/4π

r= ∛3*972/4*3.14

r = 6.146

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Step-by-step explanation:

From the question we are told that

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Generally the standard error of the mean is mathematically represented as

$\sigma_x = \frac{\sigma }{\sqrt{n} }$

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$\sigma_x = \frac{\sigma }{\sqrt{n} }$

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$P(\= X \ge 51 ) = P( \frac{\= X - \mu }{\sigma_x} \ge \frac{51 - 50 }{0.1897 } )$

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=> $P(Z < 5.2715 ) = 1$

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