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Find the volume of a sphere whose diameter is $3.5\ dm$.
Given:
The diameter of a sphere is $3.5\ dm$.
To do:
We have to find the volume of the sphere.
Solution:
Diameter of the sphere $=3.5 \mathrm{dm}$
This implies,
Radius of the sphere $(r)=\frac{3.5}{2}$
$=\frac{7}{2 \times 2}$
$=\frac{7}{4} \mathrm{dm}$
Therefore,
Volume of the sphere $=\frac{4}{3} \pi r^{3}$
$=\frac{4}{3} \times \frac{22}{7} \times \frac{7}{4} \times \frac{7}{4} \times \frac{7}{4}$
$=\frac{539}{24}$
$=22.46 \mathrm{dm}^{3}$
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