Question

Find the diameter of the sphere volume is 15625cc

Answer 1

Answer :

Given :

• The volume of a sphere is 15625 cm square.

Find :

• The diameter of the sphere.

Solution :

$\dag$ Formula for volume of Sphere

$\large\boxed {\sf { Volume =\dfrac {4}{3}\pi {r}^{3}}}$

• Substituting the values in formula :

= ${\sf {Volume =\dfrac {4}{3}\pi {r}^{3}}}$

= ${\sf {15625 =\dfrac {4}{3}×\dfrac {22}{7}× {r}^{3}}}$

= ${\sf {15625 =\dfrac {88}{21}× {r}^{3}}}$

= ${\sf {15625 × \dfrac {21}{88}×= {r}^{3}}}$

= ${\sf {\dfrac {328125}{88}= {r}^{3}}}$

= ${\sf {3728.691= {r}^{3}}}$

= ${\sf {\sqrt[3] {3728.691}= r}}$

= ${\sf {61.06= r}}$

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Here, we have to find the diameter,

Diameter = 2 × Radius

Diameter = 2 × 61.06

Diameter = 122.12

•°• Thus, the diameter of the given sphere is 122.12 respectively!

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