A cone has a slant height of 25 inches and a radius of 7 cm what is the volume of the cone. Please show explanation, I have been out of school for 30 years and trying to help my son understand this.

3258.77cm3

Step-by-step explanation:

Volume of a cone = 1/3 x Pi x radius ^2 x height

Radius was given as 7cm

Height was given as 25 inches (so 63.5cm) since volume is cm^3

And PI is 22/7 or 3.142

So by evaluation, Volume = 1/3 x 3.142 x (7)^2 x 63.5

Hence volume = 3258.77cm^3

answer: the first graph

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'.