The volume of the modified globe would be 523.3 cubic inches (Option 3)
What is the volume of the globe with modified dimensions?
Information Given
The current diameter of the globe = 20 inches
We know that the radius of a sphere (globe) is half its diameter.
⇒ The radius of the globe = 10 inches
If the dimensions of the globe were reduced by half, the new diameter would be, [tex]\frac{20}{2} = 10[/tex] inches.
⇒ New radius of the globe, [tex]r = 10[/tex] inches
Calculating the Volume of the Modified Globe
The volume of a sphere (globe) is given by,
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
Here, [tex]r[/tex] is the new radius of the globe.
∴ The volume of the new globe would be,
[tex]V = \frac{4}{3} \pi (5)^{3}[/tex]
Use [tex]\pi =3.14[/tex]
⇒ [tex]V = \frac{4}{3} (3.14) (5)^{3}[/tex]
⇒ [tex]V = 523.333..[/tex] cubic inches
Rounding off the result to the nearest tenth, we get,
[tex]V = 523.3[/tex] cubic inches
Thus, if the dimensions of the globe were reduced by half, its volume would be 523.3 cubic inches.
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