Question

The volume of a sphere whose radius is 3 cm a Α) 35 π B) 36 π C) 38 π D) 40 π​

Answer 1

Answer:

Given :-

• A sphere whose radius is 3 cm.

To Find :-

• What is the volume of a sphere.

Formula Used :-

$\clubsuit$ Volume Of Sphere Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{Volume_{(Sphere)} =\: \dfrac{4}{3}{\pi}r^3}}}\: \: \: \bigstar$

where,

• π = Pie or 22/7
• r = Radius

Solution :-

Given :

• Radius = 3 cm

According to the question by using the formula we get,

$\implies \bf Volume_{(Sphere)} =\: \dfrac{4}{3}{\pi}r^3$

$\implies \sf Volume_{(Sphere)} =\: \dfrac{4}{3}{\pi} \times (3)^3$

$\implies \sf Volume_{(Sphere)} =\: \dfrac{4}{3}{\pi} \times 27$

$\implies \sf Volume_{(Sphere)} =\: \dfrac{4}{3} \times 27 \times {\pi}$

$\implies \sf Volume_{(Sphere)} =\: \dfrac{\cancel{108}}{\cancel{3}}{\pi}$

$\implies \sf\bold{\red{Volume_{(Sphere)} =\: 36\: {\pi}}}$

$\therefore$ The volume of a sphere is 36 π .

Hence, the correct options is option no B) 36 π .

Answer 2

$\large{\underline{\underline{\maltese{\orange{\pmb{\sf{ \; Question \; :- }}}}}}}$

Find the volume of a sphere whose radius is 3 cm.

$\large{\underline{\underline{\maltese{\orange{\pmb{\sf{ \; Options \; :- }}}}}}}$

• (Α) 35 π

• (B) 36 π

• (C) 38 π

• (D) 40 π

$\large{\underline{\underline{\maltese{\orange{\pmb{\sf{ \; Given \; :- }}}}}}}$

• RADIUS = 3 cm

$\large{\underline{\underline{\maltese{\orange{\pmb{\sf{ \; To \: Find \; :- }}}}}}}$

• VOLUME OF THE SPHERE.

$\large{\underline{\underline{\maltese{\orange{\pmb{\sf{ \; Formula \: Used \; :- }}}}}}}$

Volume of Sphere $\large = \frac{4}{3}$πr³

$\large{\underline{\underline{\maltese{\orange{\pmb{\sf{ \; Solution \; :- }}}}}}}$

VOLUME OF THE SPHERE :-

• $\large = > \frac{4}{3} \times \pi \times (3) ^{3}$

• $\large = > \frac{4}{3} \times \pi \times 27$

• $\large = > \frac{4}{\cancel{3}¹} \times \pi \times \cancel{27}$⁹

• $\large = > 4 \times \pi \times 9$

• $\large = > 36 \: \pi$

$\large{\underline{\underline{\maltese{\orange{\pmb{\sf{ \; Answer \; :- }}}}}}}$

The volume of the sphere is 36 π

Hence, the Correct option is :-

• (B) 36 π