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Andreyy89
2 years ago
11

Find volume of sphere in cubic yards whose radius is 5 yard Use pi = 3.14​

Mathematics
2 answers:
enyata [817]2 years ago
4 0

Answer:

523.333 cubic yards

Step-by-step explanation:

The formula for the volume of a sphere is  \frac{4}{3}\pi r^{3} where r is the radius.

The radius of the given sphere is r=5 yards and \pi =3.14.

Therefore, we can substitute in the radius and solve:

V_{sphere}= \frac{4}{3}\*\times3.14\times  5^{3} =523.333 cubic yards

goldenfox [79]2 years ago
4 0

Answer:

  • Volume of the sphere is 523.33 cubic yards

Step-by-step explanation:

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

  • Radius of sphere = 5 yards
  • π = 3.14

<u>To </u><u>Find </u><u>:</u><u>-</u><u> </u>

  • Volume of Sphere

<u>Using formula :- </u>

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

On Substituting the required values in above formula, we get:

\\ \:  \:  \dashrightarrow \:  \: \:   \sf Volume_{(Sphere)} =  \frac{4}{3} \times 3.14 \times  {(5)}^{3}   \\  \\   \\  \:  \:  \dashrightarrow \:  \: \:   \sf Volume_{(Sphere)} =   \frac{4}{3} \times 3.14 \times 125 \\  \\  \\ \:  \:  \dashrightarrow \:  \: \:   \sf Volume_{(Sphere)} =   \frac{4}{3}  \times 392.5 \\  \\  \\ \:  \:  \dashrightarrow \:  \: \:   \sf Volume_{(Sphere)} =   \frac{1570}{3}   \\  \\  \\ \:  \:  \dashrightarrow \:  \: \:   \sf Volume_{(Sphere)} =  523.333 ~yd ^{3}  \\ \\  \\

Hence,

  • <u>Vo</u><u>l</u><u>u</u><u>me </u><u>of </u><u>the </u><u>sphere </u><u>is </u><u>5</u><u>2</u><u>3</u><u>.</u><u>3</u><u>3</u><u>3</u><u> </u><u>cubic </u><u>yards</u>
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