Here are two solids. Cylinder
radius 6 cm
height 10 cm
Volume = ar
Hemisphere
radius 9 cm
Volume = br
9 cm
10 cm
The volume of the cylinder is ar
where a is an integer.
The volume of the hemisphere is br
where b is an integer.
Work out the value of b
- a
6 cm
volume of hemisphere = } ar
where r is the radius

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

a 360 degree rotation

step-by-step explanation:

3 qrs + 3/2 xy hope this : /

step-by-step explanation:

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: