205k views
25 votes
The diameter of a sphere is 6 cm. What is the volume of the sphere?

The diameter of a sphere is 6 cm. What is the volume of the sphere?-example-1
User MeeDamian
by
6.3k points

2 Answers

3 votes

Answer:

36pi

Explanation:

the volume of a sphere is equal to 4/3 x pi x r^3

the radius is half of the diameter

3^3=27

27x4/3=36

36pi

User Grokpot
by
6.3k points
5 votes

The volume of the sphere is 36π cm³. Option B

First, we have to know that the formula for calculating the volume of a sphere is expressed as;

V = 4/3πr³

Where;

  • V is the volume
  • r is the radius

But since the diameter was given, we have that;

Radius = diameter/2

substitute the values

Radius = 6/2 = 3cm

Now, substitute the values, we have;

Volume = 4/3 ×π × 3³

find the value and substitute

Volume = 4 × π× 9

Multiply the values

Volume = 36π cm³

User Zfz
by
5.3k points