In a chemistry lab students use a filter paper cone to filter a liquid. The diameter of the cone is 9.5 cm and its height is 7 cm. How much liquid will the cone hold when it is full?

The cone will hold a volume of liquid equal to 165.5 cm^3

Step-by-step explanation:

In this question, we are told to calculate the amount of liquid that a filter paper cone will hold when it is full.

This is obviously a volume question and the best thing to do is to calculate the volume of the filter paper.

Mathematically, the volume of the filter paper can be calculated using the formula;

V = 1/3 * pi * r^2 * h

where r is the radius which is Diameter divided by 2 = 9.5cm/2 = 4.75cm

and height is 7cm

Using the value of 22/7 for pi and plugging all other values above, we have;

V = 1/3 * 22/7 * 4.75 * 4.75 * 7 = 165.458333333333 cm^3

To 1 decimal place = 165.5 cm^3

3; 9 is 8 to -4

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.