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2 years ago

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:

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

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:

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

Substituting the required values:

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

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

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

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

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

Hence,

Volume of the sphere is 904.3 mi³

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