Question

Help me solve the volume for the sphere?

Answer 1

Answer:

38.77 yd³

Step-by-step explanation:

The volume of the sphere can be determined by using the formula 4πr³/3.

[Where "r" is the radius of the circle].

We are given that:

Radius of circle = 2.1 yd

When we substitute the radius in the formula, we get;

⇒ 4 × π × (2.1)³/3

Let π be substituted as 3.14. Then;

⇒ 4 × π × (2.1)³/3

⇒ 4 × (3.14) × (2.1)³/3

When evaulating the cube of 2.1, we get;

⇒ 4 × (3.14) × (2.1)³/3

⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3

When simplified, we get;

⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3

⇒ 4 × (3.14) × (2.1) × (2.1) × (0.7)

⇒ 4 × (3.14) × (4.41) × (0.7)

⇒ (12.56) × (4.41) × (0.7)

⇒ 38.77272 ≈ 38.77 yd³          (Rounded to nearest hundredth)    

Therefore, the volume of the sphere is 38.77 yd³.