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

6 mi
O 956.2 mi
O 886,1 mi
0
669 mi
O 904.3 mi

14. Find the volume of the sphere. Use 3.14 for pi and round to the nearest tenth-example-1
User Stefan Vasiljevic
by
3.1k points

2 Answers

14 votes
14 votes

Answer:

  • Volume of the sphere is 904.3 mi³

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)) = (4)/(3) \pi r ^3 }}}}}} \\ \\

Substituting the required values:


\\ \: \: \dashrightarrow \sf \: \: Volume = (4)/(3) * 3.14 * {(6)}^(3) \\ \\


\: \: \dashrightarrow \sf \: \: Volume = (4)/(3) * 3.14 * 216 \\ \\


\: \: \dashrightarrow \sf \: \: Volume = (4)/(3) * 678.24 \\ \\


\: \: \dashrightarrow \sf \: \: Volume = (2712.96)/(3) \\ \\


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

Hence,

  • Volume of the sphere is 904.3 mi³
User Kilgoretrout
by
2.4k points
24 votes
24 votes

Explanation:

Given :-

  • radius of sphere = 6mi

To find =

  • Volume of sphere

Solution =

Volume of sphere = 4/3 πr³

putting the known values ,

Volume = 4/3 × 3.14 × 6³ mi³

Volume = 904.32 mi³

rounding off to nearest tenth ,

Volume = 904.3 mi³

User Fearoffours
by
2.7k points