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melomori [17]
2 years ago
12

14. Find the volume of the sphere. Use 3.14 for pi and round to the nearest tenth if necessary.

Mathematics
2 answers:
creativ13 [48]2 years ago
4 0

Step-by-step explanation:

<u>Given</u><u> </u><u>:</u><u>-</u>

  • radius of sphere = 6mi

<u>To </u><u>find</u><u> </u><u>=</u><u> </u>

  • Volume of sphere

<u>Solution</u><u> </u><u>=</u>

<u>Volume of sphere = 4/3 πr³</u>

putting the known values ,

<u>Volume</u> = 4/3 × 3.14 × 6³ mi³

<u>Volume</u> = 904.32 mi³

rounding off to nearest tenth ,

<u>Volume</u> = 904.3 mi³

marissa [1.9K]2 years ago
3 0

Answer:

  • Volume of the sphere is 904.3 mi³

Step-by-step explanation:

Given that radius of the sphere is 6 miles. To find Volume of the sphere we will substitute the Value of radius in the given formula:

\\  \:  \: \dashrightarrow { \underline{ \boxed { \pink{ \pmb{ \mathfrak {Volume_{(Sphere)} = \dfrac{4}{3} \pi r ^3 }}}}}} \\ \\

<em>Substituting</em><em> </em><em>the </em><em>required</em><em> </em><em>values:</em>

\\ \:  \: \dashrightarrow \sf \:  \:  Volume =  \dfrac{4}{3}  \times  3.14  \times  {(6)}^{3} \\ \\

\:  \: \dashrightarrow \sf \:  \:  Volume =  \dfrac{4}{3}  \times 3.14 \times 216 \\ \\

\:  \: \dashrightarrow \sf \:  \:  Volume =  \dfrac{4}{3}  \times 678.24 \\ \\

\:  \: \dashrightarrow \sf \:  \:  Volume =  \dfrac{2712.96}{3}  \\  \\

\:  \: \dashrightarrow \sf \:  \:     {  \underline{ \boxed{ \pink{ \pmb{ \mathfrak{Volume \approx 904.3 \:  {mi}^{3} }}}}}} \\  \\

Hence,

  • <u>Volume of </u><u>the </u><u>sphere is 904.3 mi³</u>
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