Please help me this is for exam A giant scoop , operated by a crane is in shape of a hemisphere of a radius 15 inches. The scoop if filled with molten steel. The steel is then poured into a cylindrical storage tank with a diameter of 16 inches how high will the molten steel rise

The hemisphere of radius 24 inches is full so the volume is 4/3 π 243 cubic inches. The cylinder has radius 16 inches so is volume is π 162 h cu inches. Thus pi 162 h = 4/3 π 243. Solve for h.

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.