A shop uses cone-shaped coffee filters in its coffee pots. Each filter has a diameter of 5 inches and a height of 4 inches. What is the volume of the filter? Use 3.14 to approximate pi. Round your answer to the nearest tenth.

26.2 inches cubed

Step-by-step explanation:

The volume of a cone is denoted by: , where r is the radius and h is the height.

Here, we are given that the diameter is 5. Remember that the radius is simply 1/2 the diameter, so the radius is r = 5/2 = 2.5. We are also given that the height is h = 4. Plug these into the equation:

≈ 26.2

Thus, the volume is about 26.2 inches cubed.

Hope this helps!

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

there is no grid

step-by-step explanation: