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the the radius of a sphere is 8 cm. find the volume. round off to nearest tenth if necessary. use 3.14 for pi​

Sagot :

given,

radius of sphere , r = 8cm
We know that,
Volume of sphere = 4/3 pi r^3 cubic units

=> Volume of sphere , V = 4/3 x 3.14 x 8 x 8 x 8

=> Volume of sphere , V = 2143.573 units

Rounding of to nearest tenth , V =2143.58 units

Given:

  • Radius= 8 centimeters

To find:

The volume of the given sphere.

Solution:

[tex]\large\boxed{Formula:V = \frac{4}{3} \pi {r}^{3}}[/tex]

[tex]\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]

Let's solve

Substitute the values according to the formula.

[tex]V = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]

[tex]V = 2143.573333 \: {cm}^{3} [/tex]

[tex]\large\boxed{= 2143.6 \: {cm}^{3} \: (nearest \: tenth)}[/tex]

Hence, the volume of the given sphere is 2143.6 cubic centimeters.