Question

The volume of sphere is 4/3???? cm³. Then its diameter is ...... cm.select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) 0.5
(b) 1
(c) 2
(d) 2.5

Answer 1

Hi ,

Let d is the diameter of a Sphere .

Volume of the Sphere ( V ) = ( πd³ )/6

V = 4/3 ( given )

( πd³ )/6 = 4/3

( 22/7 )d³ = 4/3

d³ = ( 4 × 7 )/( 3 ×22 )

d³ = 14/33

d ≈ 0.72 cm

Option ( b ) is correct

I hope this helps you.

: )

Answer 2

Volume of sphere,$v = \frac{4}{3}*\pi *r^{3}$

Where, r is the radius.

We know , $v = \frac{4}{3} cm^{3}$

hence, $r = (\frac{3v}{4\pi})^{\frac{1}{3}}$

$r = (\frac{3*4}{4*3\pi})^{\frac{1}{3}}$

r = 0.0323 cm

hence, diameter 2r = 0.065 cm