The volume of a cylinder varies jointly as the square of the radius and the height. If the volume is 28pi cubic inches when the radius is 2 inches and the height is 7 inches, find the volume when the radius is 12 inches and the height is 11 inches. Express the answer in terms of pi .
A. 1,728x in
B. 529x in
O C. 1,584x in
D. 1,331x in

1584 cu in.

Step-by-step explanation:

Since the volume varies jointly with the radius and height we have an equation V = kr^2h where k is the constant of variation

28 = 2^2(7)k = 28k

k = 1

Now V = r^2h

V = (12)^2(11) = 144(11) = 1584 cu in.

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.