Right triangle ABC, shown, has a vertical leg 6 inches long and a hypotenuse 10 inches long. If the triangle was rotated 360 degrees around the vertical leg to form a right circular cone, what would be the volume of this cone, in cubic inches?
A. 32
B. 96
C. 128
D. 288
E. 384

The answer to your question is the letter D. 288 in³

Step-by-step explanation:

Data

Radius = 6 in

height = ?

g = 10 in

Volume = ?

Formula

Volume of a cone = πr²h / 3

Process

1.- Find height using the Pythagorean theorem

            height² = 10² - 6²

                         = 100 - 36

                         = 64

            height = 8

2.- Find the volume of the cone

            Volume = π(6)²(8)

Simplification

            Volume = π(36)(8)

Result

             Volume = 288π in³

im not quite sure if this is right but i got 5.6 oisutuve

step-by-step explanation: