Question

The radius of sphere if volume of sphere is 12π cm cube
(A) 3√3
(B) 3
(C) 3^1÷3
(D) 3^2÷3

Answer 1

Answer:

(B) option is correct

Step-by-step explanation:

$volume \: of \: sphere = \frac{4}{3} \pi {r}^{3}$

$12\pi = \frac{4}{3} \pi {r}^{3}$

${r}^{3} = \frac{12 \times 3}{4}$

${r}^{3} = 9$

$r = 3$

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Answer 2

$\Large{\underline{\underline{\bf{Solution :}}}}$

We know the formulabtobfind the volume of the sphere.

$\Large{\implies{\boxed{\boxed{\sf{Volume = \frac{4}{3} \pi r^3}}}}}$

_________________[Put Values]

$\sf{→Volume = \frac{4}{3} \pi \times r^3} \\ \\ \sf{→\frac{12\pi \times 3}{4 \times \pi} = r^3} \\ \\ \sf{→\frac{\cancel{36}\cancel{\pi}}{\cancel{4}\cancel{\pi}} = r^3} \\ \\ \sf{→r^3 = 9} \\ \\ \sf{→r^3 = (3)^3} \\ \\ \sf{→r = 3 \: cm}$