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larisa86 [58]
3 years ago
8

i'm just giving em away! Brainly, A sphere has a volume of 2,304\p mm^3. Find the diameter of the sphere.

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
5 0

Answer:

diameter = 24 mm

Step-by-step explanation:

volume of a sphere =

\frac{4}{3} \:  \pi \: r {}^{3}

now,

=》

\frac{4}{3} \pi \: r {}^{3}  = 2304 \: \pi

=》

{r}^{3}  = 2304 \times  \frac{3}{4}

=》

r {}^{3}  = 1728

=》

r =  \sqrt[3]{1728}

=》

r = 12

radius = 12mm

so, diameter = 2 × radius = 2 × 12 = 24 mm

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