Question

The volume of sphere with diameter 1 cm is ..... cm³.select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) 2/3????
(b) 1/6????
(c) 1/24????
(d) 4/3????

Answer 1

Hi ,

Let r , d are radius and diameter of

the Sphere .

we know that r = d/2

Volume of a Sphere ( V ) = ( 4/3 ) × πr³

V = ( 4/3 ) × π ( d/2 )³

V = ( 4/3 ) × ( 22/7 ) × ( 1/2 )³

[ given d = 1 cm ]

= ( 4 × 22 × 1 )/( 3 × 7 × 8 )

= 11/21 cm³

Options are wrong .

I hope this helps you.

: )

Answer 2

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

Where, r is the radius.

We know , $v = \frac{1}{1} cm^{3}$

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

r = 0.62 cm

hence option a is close to 0.62

So, a is correct option

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