A ball bearing is shaped like a sphere and has a diameter of 2.5 centimetres. What is the volume contained inside the ball bearing? Use 3.14 for pi. Round your answer to the nearest hundredth. 8.18 cubic centimeters 7.15 cubic centimeters 7.08 cubic centimeters 6.89 cubic centimeters

Respuesta :

To solve:

The diameter is already given (2.5), and it can be divided by 2 to find the radius.

2.5/2=1.25

Plug 1.25 and Pi into the equation for a sphere to find the volume:

(4/3)(1.25^3)(3.14)=8.177

Answer: About 8.18 cm^3

Answer: 8.18 cubic centimeters

Step-by-step explanation:

Given : A ball bearing is shaped like a sphere .

The diameter of ball = 2.5 centimeters

Then , the radius of the ball =[tex]\dfrac{2.5}{2}=1.25\text{ cm}[/tex]

We know that the volume of a sphere is given by :-

[tex]\text{Volume}=\dfrac{4}{3}\pi r^3[/tex]

Then , the volume of ball is given by :-

[tex]\text{Volume}=\dfrac{4}{3}(3.14) (1.25)^3\\\\\Rightarrow\ \text{Volume}=8.17708333333\approx8.18\text{ cubic centimeters}[/tex]