Question

1. The diameter of a sphere is 21.6 cm. The volume of the sphere is __

Answer 1

Direct answer:
The volume of the sphere having diameter 21.6 cm is 5278.79 cm³.
The volume of the sphere having diameter 16 cm is 2145.52 cm³.
The volume of the sphere having diameter 24 cm is 7241.14 cm³.
The volume of the sphere having diameter 6 cm is 113.14 cm³.
Explanation:
Given diameter = 21.6 cm
So radius = diameter/2 = 21.6 cm /2 = 10.8cm
Now volume of the sphere is given as = 4/3 πr³
So Volume = 4/3 × 22/7 × (10.8)³
Volume = 5278.79 cm³
Similarly given diameter = 16 cm,
So radius= 16/2 = 8 cm
Hence volume = 4/3× 22/7 × (8) ³
Volume = 2145.52cm³.
Similarly given diameter = 24 cm
So radius = 24/2= 12 cm
Hence volume= 4/3 × 22/7× (12) ³
Volume = 7241.14 cm ³
Similarly given diameter = 6 cm
So radius = 6/2= 3 cm
Hence volume= 4/3 × 22/7× (3) ³
Volume = 113.4 cm ³
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Answer 2

Detailed Answers:

Volume of a Sphere (V) = 4/3 πr^3

1. Diameter (d) = 21.6 cm
Radius (r) = 21.6/2 = 10.8 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (10.8)^3
= 4/3 * 22/7 * 1259.712
= 88/21 * 1259.712
=> 5278.79

Volume (V) = 5278.79 cm^3

2. Diameter (d) = 16 cm
Radius (r) = 16/2 = 8 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (8)^3
= 4/3 * 22/7 * 512
= 88/21 * 512
=> 2145.52

Volume (V) = 2145.52 cm^3

3. Diameter (d) = 24 cm
Radius (r) = 24/2 = 12 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (12)^3
= 4/3 * 22/7 * 1728
= 88/21 * 1728
=> 7241.14

Volume (V) = 7241.14 cm^3

4. Diameter (d) = 6 cm
Radius (r) = 6/2 = 3 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (3)^3
= 4/3 * 22/7 * 27
= 88/21 * 27
=> 113.14

Volume (V) = 113.14 cm^3