The cylindrical container is four-fifths full of powder. Round to the nearest tenth if necessary. a. The total capacity of the container in terms of π is________________________. b. The volume of the powder in terms of π is _______________________.

Respuesta :

Answer:

a. [tex]\pi r^2h[/tex]

b. [tex]\frac{4\pi r^2h}{5}[/tex]

Step-by-step explanation:

Volume of the container denotes its quantity. It is a three-dimensional space.

Let V denotes the volume of the container, h denotes the height of the container and r denotes the radius of the container.

a.

The total capacity of the container in terms of π is [tex]\pi r^2h[/tex]

b.

As the cylindrical container is four-fifths full of powder, so the volume of the powder in terms of π is [tex]\frac{4}{5}\times[/tex] volume of the container i.e., [tex]\frac{4\pi r^2h}{5}[/tex]