Question

The outer and the inner radii of a hollow sphere are 12cm and 10 cm. find its volume​

Answer 1

Answer:

3049.44 cm³

Step-by-step explanation:

The volume of a sphere is

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

To find the volume of a hollow sphere excluding the hollow part, we must calculate the volume of the solid sphere and the hollow sphere, then subtract the hollow volume from the solid volume. The outer radius is the radius of the solid sphere and the inner radius is the radius of the hollow sphere.

Putting the values in the question into the formula above, we get

$\frac{4}{3} \pi {(12)}^{3} - \frac{4}{3} \pi {(10)}^{3} \\ = \frac{4}{3} \pi( {12}^{3} - {10}^{3} ) \\ = \frac{4}{3} \pi(1728 - 1000) \\ = \frac{4}{3} \pi \times 728 \\ = 3049.44 \: {cm}^{3}$

Answer 2

Answer:

we have,

R=12cm r=10cm

We know that the volume of hollow sphere is,

4/3π(R^3-r^3)

so,

4/3×22/7×(12^3-10^3)

4/3×22/7×1728-1000

4/3×22/7×728

4/3×22×104

9152/3

30502(2/3)