Math, asked by piutalole4329, 10 months ago

उस गोले का आयतन ज्ञात कीजिए जिसकी त्रिज्या 2d/3 है

Answers

Answered by sk98764189
2

गोले का आयतन \frac{32}{81}\pi d^{3}\ cm^{3} होगा l

Step-by-step explanation:

प्रश्न के अनुसार,

गोले की त्रिज्या, r = \frac{2d}{3}

हम जानते हैं कि,

गोले का आयतन ,V = \frac{4}{3}\pi r^{3}

                            = \frac{4}{3}\times\pi\times(\frac{2d}{3})^3

                            = \frac{4}{3}\times\pi\times\frac{8d^3}{27}

                            = \frac{32}{81}\pi d^{3}

इसलिए, गोले का आयतन  \frac{32}{81}\pi d^{3}\ cm^{3} होगा l

Answered by erinna
0

The volume of sphere is V=\frac{32}{81}\pi d^3 cubic units.

Step-by-step explanation:

Given information:

r=\frac{2}{3}d

Volume of sphere is

V=\frac{4}{3}\pi r^3

where, r is the radius of sphere.

Substitute r=\frac{2}{3}d in the above formula.

V=\frac{4}{3}\pi (\frac{2}{3}d)^3

Using properties of exponent we get

V=\frac{4}{3}\pi (\frac{2^3}{3^3}d^3)

V=\frac{32}{81}\pi d^3

Therefore, the volume of sphere is V=\frac{32}{81}\pi d^3 cubic units.

#Learn more

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