Q1)
Given:
The radius of the ball is 10 inches.
Required:
We need to find the volume of the ball.
Explanation:
The shape of the ball is a sphere.
Consider the volume of the sphere formula.
[tex]V=\frac{4}{3}\pi r^3[/tex]
Substitute r =10 in the formula.
[tex]V=\frac{4}{3}\times3.14\times(10)^3[/tex][tex]V=\frac{4}{3}\times3.14\times1000[/tex][tex]V=4186.7\text{ in}^3[/tex]
Answer:
The volume of the ball is 4186.7 cubic inches.
Q2)
Given:
The radius of the hemisphere is 6m.
Required:
We need to find the volume of the hemisphere.
Explanation:
Consider the volume of the hemisphere formula.
[tex]V=\frac{2}{3}\pi r^3[/tex]
Substitute r =6 in the formula.
[tex]V=\frac{2}{3}\times3.14\times6^3[/tex][tex]V=452.2m^3[/tex]
Answer:
The volume of the hemisphere is 452.2 cubic meters.
Q3)
Given:
The diameter of the sphere is 2.6m.
Required:
We need to find the volume of the sphere.
Explanation:
Consider the radius formula.
[tex]r=\frac{d}{2}[/tex]
Substitute d =2.6 in the formula.
[tex]r=\frac{2.6}{2}=1.3m.[/tex]
Consider the volume of the sphere formula.
[tex]V=\frac{4}{3}\pi r^3[/tex]
Substitute r =1.3 in the formula.
[tex]V=\frac{4}{3}\times3.14\times(1.3)^3[/tex][tex]V=9.2\text{ m}^3[/tex]
Answer:
The volume of the given sphere is 9.2 cubic meters.
Q4)
Given:
The diameter of the sphere is 8 ft.
Required:
We need to find the volume of the sphere.
Explanation:
Consider the radius formula.
[tex]r=\frac{d}{2}[/tex]
Substitute d =8 in the formula.
[tex]r=\frac{8}{2}=4ft[/tex]
Consider the volume of the sphere formula.
[tex]V=\frac{4}{3}\pi r^3[/tex]
Substitute r =4 in the formula.
[tex]V=\frac{4}{3}\times3.14\times(4)^3[/tex][tex]V=267.9ft^3[/tex]
Answer:
The volume of the given sphere is 267.9 cubic feet.
