Question

Find the volume of the hollow sphere whose outer diameter is 10 cm and the thickness of the material of which it is made is 1cm

Answer 1

Answer:

381.90 cm³

Step-by-step explanation:

Given:

Outer diameter = 10 cm

Thickness = 1 cm

=> Inner Diameter = 10 - 1 = 9 cm

Inner Radius = 9/2 = 4.5 cm.

Thus volume of hollow sphere = 4/3πr³ = 4/3 * 22/7 * (4.5)³

                                                    = 381.90 cm³.

Answer 2

Answer:

The volume of hollow sphere is 254.7482cm³.

Step-by-step explanation:

Given that Outer diameter = 10cm

Thickness = 1cm

Outer radius(R) = 5cm

Inner radius = outer radius - thickness

                         = 5 - 1 = 4cm

hollow sphere Inner radius(r) = 4cm

We have to find the volume of hollow sphere.

Volume of hollow sphere = 4/3π(R³ - r³)

Required volume = 4/3π(R³ - r³)

                             = $\frac{4}{3} *\frac{22}{7} (5^{3} -(4)^{3})$

                             = $\frac{4}{3} *\frac{22}{7} (125-64)$

                             =$\frac{4}{3} *\frac{22}{7} (61)$

                             =$\frac{4}{3} *\frac{22}{7} *61$

                             =1.33*3.14*61cm³

                              =254.7482

Therefore, the volume of hollow sphere is 254.7482cm³.