A sphere radious is 8 cm. Find its volume?​

Sagot :

Radius: 8cm

[tex] \sf \: volume \: of \: sphere = \frac{4}{3} \pi r ^{3} [/tex]

  • π = 3.14
  • Radius (r) = 8 cm

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

[tex] = \sf \: \frac{ \cancel4}{3} \times \frac{157} { \cancel5 \cancel0} \times 8 ^{3} [/tex]

[tex] \sf = \frac{2}{3} \times \frac{157}{25} \times 8 ^{3} [/tex]

[tex] \sf = \frac{314 \times 8 ^{3} }{75} [/tex]

[tex] = \sf \frac{314 \times 512}{75} [/tex]

[tex] = \sf \frac{160768}{75} [/tex]

[tex] \sf = 2143.573 \: cm^{3} [/tex]

The volume of a sphere whose radius is 8cm is; 2138.2cm³

Volume of a sphere

The volume of a sphere is given as;

  • V = (4/3)πr³

Therefore, for the given sphere;

  • V = (4/3) × 3.14 × (8)³

  • V = 1.33 × 3.14 × 512

  • V = 2138.2cm³

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