A globe company currently manufactures a globe that is 16 inches in diameter. if the dimensions of the globe were reduced by hal

Question

1 year ago

14

f, what would its volume be? use 3.14 for π and round your answer to the nearest tenth.

1 answer:

svlad2 [7] · Answer 1 · 2023-09-23T03:52:26+03:00

The volume of the new globe will be $803.84 inch^3$

Solution:

Diameter = 16inch

Radius = $\frac{Diameter}{2}$ = $\frac{16}{2}$ = 8inches

New Radius = $\frac{radius}{2}$ = $\frac{8}{2}$ = 4 inches

We know that

Volume of a sphere = $\frac{4\pi r^3}{3}$

V = $\frac{4 \times 3.14\times4^3}{3}$ = $803.84 inch^3$

<h3>What is Volume?</h3>

Volume is a measurement of three-dimensional space that is occupied. Numerous imperial units or SI-derived units, such as the cubic meter and liter, are frequently used to quantify it numerically (such as the gallon, cubic inch).
In contrast to how much space the container actually occupies, the volume of a container is typically thought of as its capacity, or the amount of fluid it could hold.
Arithmetic formulas can be used to quickly calculate the volume of several straightforward three-dimensional shapes. If a formula for the shape's boundary is known, it is possible to use integral calculus to determine the volumes of more complex shapes.
No object in the dimensions of zero, one, or two has volume; in the dimensions of four and above, the hypervolume is a concept similar to the standard volume.

To learn more about volume with the given link

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