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lys-0071 [83]
3 years ago
6

What is the approximate radius of a sphere with a volume of 1436cm to power of 3

Mathematics
1 answer:
Margarita [4]3 years ago
3 0

Answer:

<h3>The radius is 7 cm</h3>

Step-by-step explanation:

Volume of a sphere is given by

V =  \frac{4}{3} \pi {r}^{3}

where r is the radius

From the question V = 1436 cm³

1436 =  \frac{4}{3} \pi {r}^{3}

Multiply through by 3

We have

4308 = 4\pi {r}^{3}

Divide both sides by 4π

{r}^{3}  =  \frac{4308}{4\pi}

{r}^{ 3}  =  \frac{1077}{\pi}

Find the cube root of both sides

r =  \sqrt[3]{ \frac{1077}{\pi} }

r = 6.99

We have the final answer as

<h3>r = 7cm</h3>

Hope this helps

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