Find the volume of the figure.

Please break it down for me trying to understand how to solve this :)

Step-by-step explanation:

Volume of the figure = Volume of cone + Volume of hemisphere

Cone:

height h = 33 m

Diameter = 30m

Radius r = 30/2 = 15 m

Volume of Cone:

Hemisphere:

Radius r = 15 m

Volume of Hemisphere =

Volume of the figure = 2475π + 2250π = 4725π m²

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this