77,921 views
41 votes
41 votes
A filter in the shape of a cone has a diameter of 3 inches and a height of 4 inches.

How much liquid can the filter hold without it overflowing?
A.
B.
C.
D.

User Alex Ali
by
3.0k points

2 Answers

20 votes
20 votes

Answer: B (The other guy that answered is correct)

Explanation:

The answer to the question is 9.42 (terms of pie is 3)

User Aperpen
by
2.7k points
22 votes
22 votes

Answer:

9.42 cubic inches

Explanation:

We are to find the volume of the cone.

The formula is given as:

1/3πr²h

From the question,

Diameter = 3 inches, Radius = D/2 = 3/2

r = 1.5 inches

h = 4 inches

Hence, the volume of the cone =

1/3 × π × 1.5² × 4

= 9.42 cubic inches

Therefore, the filter can hold 9.42 cubic inches of liquid without overflowing.

User Yumiko
by
2.6k points