If the volume of a cylinder is 72 inches^3, what is the volume of a cone that fits exactly inside the cylinder

The formula for volume of a cylinder is V = PI x r^2 x h

The formula for the volume of a come is V = PI x r^2 x h/3

Divide the area of the cylinder by 3:

72/3 = 24

The volume of the cone is 24 cubic inches.

The answer is:

Since we know the volume of the cylinder,  and we also know that both cylinder and cone have the same height and same base diameter, we can calculate the volume of a cone that fits exactly inside the cylinder using the following relation:

So, from the statement we know that the volume of the cylinder is  

Then, substituting it into the formula, we have:

Have a nice day!

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