Explanation:
"to solve for h" just means to transform the equation, so that instead of V we get h alone on one side of the equation.
V = pi×r²×h
h = V / (pi×r²)
that's it.
for the slope question :
the slope is the factor of x (2/3 and 3/2) and indicates how steep the line is. and it is expressed as y/x ratio defining how many units y changes, when x changes a certain amount of units.
the bigger the number, the steeper the line.
so, the 4th answer option is correct. g(x) is steeper than f(x).
the lines are not parallel, because they do not have the same slope.
they are not perpendicular, because perpendicular slopes turn the y/x ratio upside down AND flip the sign.
e.g. the perpendicular slope of 2/3 would be -3/2.