Sllelng a hemlspherlcal cake a cake is shaped like a hemisphere of radius 4 with its base on the xy—plane. a wedge of the
cake is removed by making two slices from the center of the cake outward, perpendicular to the xy—plane and separated
by an angle of q)

3. use a double integral to find the volume of the slice for q) = 0/4. use geometry to check your answer.

b. now suppose the cake is sliced by a plane perpendicular to the xy—plane at x = a > 0. let d be the smaller of the two
pieces produced. for what value of a is the volume of d equal to the volume in part (a)?

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

t hope this

:

( - 4 , -7 )

all the lines must parallel  

step-by-step explanation:

coordinates of c = ( - 1 , 2 )

3 units left = ( -4 , 2 )

9 units down = ( - 4 , 11 )