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musickatia [10]
2 years ago
7

A globe has a diameter of 14 inches. Find the volume of the globe. Round your answer to the nearest tenth.

Mathematics
2 answers:
Harrizon [31]2 years ago
6 0

Answer:

1436.8 in³ (nearest tenth)

Step-by-step explanation:

A globe is in the shape of a sphere.

volume \: of \: sphere =  \frac{4}{3} π {r}^{3}

Diameter= 2 ×radius

radius of globe

= 14 ÷2

= 7 inches

Volume of globe

=  \frac{4}{3} π {(7}^{3} ) \\  = 1436.8 \: in^{3}  \\ (nearest \: tenth)

ivann1987 [24]2 years ago
4 0

Step-by-step explanation:

  • We have given that diameter of globe (sphere) is 14 inches,Then it's radius is 14/2 = 7 inches :]

To find the volume of sphere we have to use the given below formula :]

\boxed {\underline{ \underline{\bigstar\:\: \sf Volume  \: of \:  sphere = \dfrac{4}{3} \pi r^3 \:  \:  \bigstar}}} \\  \\

☯ \underline{\boldsymbol{According\: to \:the\: Question\:now :}}

:\implies  \sf Volume  \: of \:  sphere =  \dfrac{4}{3} \times 3.14 \times 7 \times 7 \times 7 \:  \:  \bigg \lgroup \bf{putting  \: \pi = 3.14} \bigg \rgroup \\  \\

:\implies  \sf Volume  \: of \:  sphere = \dfrac{4}{3} \times 3.14 \times 343 \\  \\

:  \implies \underline{ \boxed{ \sf Volume  \: of \:  sphere = 1436.0267   \: cubic \: inches}} \\

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