Question

the volume of the sphere is 524 cm^3 the diameter of sphere is

Answer 1

The diameter of sphere is 10 cm.

Given:

• Volume of the sphere is 524 cm³.

To find:

• The diameter of sphere.

Solution:

Formula to be used:

1. Volume of Sphere; $\bf V = \frac{4}{3} \pi \: {r}^{3}$
2. Diameter = 2× radius

Step 1:

Equate the given volume and formula.

$\frac{4}{3} \pi \: {r}^{3} = 524$

or

${r}^{3} = \frac{524 \times 7 \times 3}{22 \times 4}$

or

${r}^{3} = 125.045$

or

$r = 5.0005 \: cm$

or

r ≈ 5 cm

Step 2:

Find diameter of sphere.

$Diameter = 2 \times radius$

or

$Diameter = 2 \times 5$

or

$\bf Diameter = 10 \: cm$

Thus,

The diameter of sphere is 10 cm.

Learn more:

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