Question

If the volume of a sphere is 9/16π cu.cm, then its radius is

Answer 1

Answer:

volume of sphere 4/3πr^3=9/I6π

r^3=(9π/16)/4/3π

r^3 = 27/64 = (3/4)^3

r = 3/4 = 0.75 unit

hope this helps :)

Answer 2

Given:

We have the volume of sphere is  $\frac{9}{16} \pi$.

To Find:

We have to find the radius of sphere?

Step-by-step explanation:

• We will Let the radius of sphere is r cm
• We have given the volume of sphere is $\frac{9}{16} \pi$.
• We know volume of sphere is given by the formula

        $\textrm{ Volume of sphere}=\frac{4}{3} \pi r^3$

• Now put the value of volume of sphere in the above formula

        $\frac{9}{16} \pi =\frac{4}{3} \pi r^3$

• Now we will cancels the terms which can be cancelled in right and left hand terms like pi is calcelled by pi

        $\frac{9}{16} =\frac{4}{3} r^3$

• Now take the all terms one side and simplify them

        $r^3=\frac{9\times3}{16\times4}$

• Now simplify the terms for cube root

        $r=\sqrt\frac{3\times3\times3}{4\times4\times4} \\r=\frac{3}{4}$

Hence, the radius of the sphere is $\frac{3}{4}$.