The frozen the yogurt cone shown is made from a cone and a hemisphere. radius is 6 cm. th e total height of the figure is 24 cm. suppose the cone is completely packed with frozen yogurt.

the height of the cone

the height of the hemisphere

the exact volume of the cone is pi cm^3

the exact volume of the hemisphere is cm ^3

The height of the cone is 18 cm

The height of the hemisphere is 6 cm

The exact volume of the cone is 216 pi cm^3

The exact volume of the hemisphere is 144 pi cm ^3

Step-by-step explanation:

Since the height of the entire figure is 24 then the height of the cone is 18 cm. This is true since a hemisphere is half a sphere and its height will be its radius which is 6. The height if the hemisphere is 6. So 24 - 6 = 18, the height of the cone.

The volume of the cone is found using the volume formula for a cone .

Substitute h=18 and r = 6.

The volume of a hemisphere is half of . Substitute r=6.

However the hemisphere is half this so it is .

sum= when you add is how much the whole amount is

distance= when you use angles and it means how far it goes

step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions