A plane, parallel to the base of a cone slices through the cone at the midpoint between points A and B. Determine the volume of

Question

3 years ago

9

the blue portion of the cone.
A) 68.91 in^3
B) 94.25 in^3
C) 164.93 in^3
D) 659.73 in^3

2 answers:

Scilla [17] · Answer 1 · 2022-08-06T11:00:10+03:00

Answer:

D). 659.73 in^3.

Step-by-step explanation:

The volume of a cone = 1/3 π r^2 h

The volume of the large cone = 1/3 π 6^2 * 20 in^3.

The plane passes through the midpoint of the cone so the height of the small cone = 10 in

and the radius of this cone is 1/2 * 6 = 3 in.

The volume of the small cone = 1/3 π 3^2 * 10 in^3.

So the volume of the blue section

= 1/3 π 6^2 * 20 - 1/3 π 3^2 * 10

= 659.73 in^3.

disa [49] · Answer 2 · 2022-08-06T12:08:20+03:00

disa [49]3 years ago

7 0

Answer:

D). 659.73 in^3.

Step-by-step explanation:

hope this helped