What is the volume of a sphere whose radius is 6 ft?

48π ft3

324π ft3

288π ft3

144π ft3

The volume of the sphere is option 3. 288π ft³.

Step-by-step explanation:

Step 1:

The given sphere has a radius of 6 ft.

The volume of a sphere is given by multiplying with π and the cube of the radius (r³).

The volume of a sphere,

Step 2:

Here the radius r is 6 inches. We take π as itself.

The volume of a full sphere,

ft³.

The volume of the sphere is 288π ft³, This is the third given option.

a

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be