MathematicsWhich of the following is the volume of a sphere of diameter d cm?

Which of the following is the volume of a sphere of diameter $d$ cm?

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Uploaded: 2023-05-17T14:00:00.000Z
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A
$\frac{π d^{3}}{3} c m^{3}$
B
$\frac{π d^{3}}{6} c m^{3}$
C
$\frac{2 π d^{3}}{3} c m^{3}$
D
$\frac{π d^{3}}{4} c m^{3}$

Solution:

It is given a sphere with diameter as d cm.
Diameter =

d

.
Radius = r =

\frac{d}{2}

.
We know that,

V = \frac{4}{3} π r^{3}

V = \frac{4}{3} \times π \times \frac{d}{2} \times \frac{d}{2} \times \frac{d}{2}

V = \frac{{πd}^{3}}{6} c m^{3}

Hence, the volume of sphere is

\frac{{πd}^{3}}{6} c m^{3}

.
Therefore, option 2 is correct.

Which of the following is the volume of a sphere of diameter $d$ cm?

Solution:

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