Question

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 ________________________.
Options:
A) 108π and 86.4π
B) 648π and 518.4π
C) 216π and 172.8π
D) Apple π and Pumpkin π

Answer 1

The volume of the cylindrical container can be calculated using the formula V = πr²h. Plugging in the given measurements, the volume of the powder is 9.278 cm³.

Step-by-step explanation:

b) The volume of the cylinder must be calculated first, using the formula:

V = πr²h
= 3.142 × (0.750 cm)² × 5.25 cm = 9.278 cm³