Right triangle ABC, shown, has a vertical leg 6 inches long and a hypotenuse 10 inches long. If the triangle was rotated 360 deg
rees 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
1 answer:
Answer:
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
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