Question

The volume of a sphere is 36π Cubic Cm. The length of its radius is.....

(a) 2 Cm.

(b) 3Cm

(c) 4 Cm

(d) none

​

Answer 1

Here's the required answer to your question

Answer 2

$\bf\boxed{\boxed{\underline{\red{Answer!!}}}}$

b) 3cm

Given ;

The volume of the given sphere is 36π cm³

We know that volume ᐯ of a sphere of radius ᖇ

is given by the expression .

$~~~~~~~~~ ᐯ = \frac{4}{3}πr³$

Equating to the given value and solving for r

$~~~~~~~~~~~~~~➠ 36πcm³ = \frac{4}{3}πr³$

$~~~~~~~~~~~~~(took \:Reciprocal )$

$~~~~~~~~~~~~~~➠ 36πcm³ × \frac{3}{4}π = r³$

$~~~~~~~~~~~~~~➠ 36{\cancel{π}} × \frac{3}{4}{\cancel{π}} = r³$

$~~~~~~~~~~~~~~➠ \cancel{36}^{⑨} × \frac{3}{\cancel4_{①}} = r³$

$~~~~~~~~~~~~~~➠ 9 × 3 = r³$

$~~~~~~~~~~~~~~➠ 27 = r³$

$~~~~~~~~~~~~~~➠ r³ = 27$

$~~~~~~~~~~~~~~➠ r³ = 3³$

$~~~~~~~~~~~~~~➠ r^{\cancel3} = 3^{\cancel3}$

$~~~~~~~~~~~~~~ ➠r = 3$