Question

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

Answer 1

• 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

Answer 2

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