Question

find the volume of sphere if its surface area is 5544 cubic cm?

Answer 1

Hi friend
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Your answer
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Volume of a sphere = 5544 cm³

$4 \times \pi \times (r) {}^{2} = 5544 \\ \\ = > r {}^{2} = \frac{5544 \times 7}{22 \times 4} \\ \\ = > r {}^{2} = 441 \\ \\ = > r = \sqrt{441} \\ \\ = > r = 21 \: cm$
Then, radius = 21 cm

Now,
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$volume \: = \frac{4}{3} \times \pi \times (r) {}^{3} \\ \\ = \frac{4}{3} \times \frac{22}{7} \times 21 \times 21 \times 21 \\ \\ = 38808 \: cm {}^{3}$
HOPE IT HELPS

Answer 2

Answer:

• Volume of sphere = 38808 cm³

Step-by-step explanation:

Given:

• Surface area of sphere = 5544 cm²

To Find:

• Volume of sphere.

Now, first we will calculate radius of sphere by surface area formula,

$\implies \sf Surface\;area\;of\;sphere=4\pi r^{2}\\ \\ \\ \implies 5544 = 4\times \dfrac{22}{7}\times r^{2}\\ \\ \\ \implies \sf 38808 = 88r^{2}\\ \\ \\ \implies \sf r^{2}=\dfrac{38808}{88}\\ \\ \\ \implies \sf r^{2}=441\\ \\ \\ \implies \sf r=\sqrt{441}\\ \\ \\ \implies \sf r=21\;cm$

Hence, radius of sphere = 21 cm.

Now, we will calculate its volume,

$\implies \sf Volume\;of\;sphere=\dfrac{4}{3}\pi r^{3}\\ \\ \\ \implies \sf Volume\;of\;sphere=\dfrac{4}{3}\times \dfrac{22}{7}\times 21\times 21\times 21\\ \\ \\ \implies \sf Volume\;of\;sphere= 4\times 22\times 21\times 21\\ \\ \\ \implies \sf Volume\;of\;sphere= 38808‬\;cm^{3}$

Hence, Volume of sphere = 38808 cm³