Respuesta :
Answer:
24 cubic inches
Step-by-step explanation:
We are to find the volume of a sphere so we will use the following formula:
[tex]V=\frac{4}{3} \pi r^3[/tex]
where [tex]V[/tex] = volume of the softball and [tex]r[/tex] = the radius of the softball.
We know that the diameter of the softball is 3.8 inches so its radius will be [tex]\frac{3.8}{2} = 1.9[/tex] inches.
Putting this value of radius on the formula to get:
[tex]V=\frac{4}{3} \pi r^3[/tex]
[tex]V=\frac{4}{3} \pi 1.8^3[/tex]
[tex]V=24.4[/tex]
Therefore, the volume of the softball to the nearest whole number is 24 cubic inches.
Answer: 29 cubic inches.
Step-by-step explanation:
Given: Diameter of softball = 3.8 inches
Then radius of softball = [tex]\dfrac{3.8}{2}=1.9\ \text{inches}[/tex]
The volume of a sphere is given by :-
[tex]V=\dfrac{4}{3}\pi r^3[/tex], where r is the radius of sphere.
Then , the volume of the softball will be :
[tex]V=\dfrac{4}{3}(3.14) (1.9)^3\Rightarrow\ V=28.7163466667\approx29\ ft.^3[/tex]
Hence, the volume of a softball =29 cubic inches.