A 3D modeler is designing a component of a castle in a video game. She places a cone on top of a cylinder so they line up and share the same radius. The cone and the cylinder share the same height. If the volume of the cone is 50 cm3 , what is the volume of the whole object?

Answer 1

The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius and h is the height. Since the cone and the cylinder share the same radius and height, the volume of the cylinder can be calculated using the formula V = πr^2h.

Given that the volume of the cone is 50 cm^3, we can set up the equation:

(1/3)πr^2h = 50

Since the radius and height of the cone are the same as the cylinder, we can simplify the equation:

πr^2h = 150

Now, the volume of the whole object, which is the cone on top of the cylinder, can be calculated by adding the volumes of the cone and the cylinder:

V_object = V_cone + V_cylinder
= 50 + πr^2h

Therefore, the volume of the whole object is 50 + πr^2h cm^3.

Answer 2

so what is it

Answer 3

The volume of the whole object, which is the cone on top of the cylinder, is 50 + πr^2h cm^3.