Answer:
25 percent
Step-by-step explanation:
Percent decrease = (original - new)/original * 100 percent
= (40-30)/40 * 100 percent
= 10/40 * 100 percent
= .25 * 100 percent
=25 %
B. its 1/2 of the original volume, because the pyramid is doubled the height and, the length and width are cut in half. It would equal 1/2 the volume of the original pyramid.
The fractions between 3/5 and 7/8 are:
4/5
1/6
5/6
1/8
3/8
5/8
The cone equation gives

which means that the intersection of the cone and sphere occurs at

i.e. along the vertical cylinder of radius

when

.
We can parameterize the spherical cap in spherical coordinates by

where

and

, which follows from the fact that the radius of the sphere is 3 and the height at which the sphere and cone intersect is

. So the angle between the vertical line through the origin and any line through the origin normal to the sphere along the cone's surface is

Now the surface area of the cap is given by the surface integral,




Answer:10%
Step-by-step explanation: