What is the volume of a right circular cone that has a height of 14.9 cm and a base with the circumference of 2.9 cm rounded to
the nearest 10th of a cubic centimeter
1 answer:
Answer:
The answer to your question is Volume = 3.30 cm³
Step-by-step explanation:
Data
Volume = ?
height = 14.9 cm
circumference = 2.9 cm
Process
1.- Calculate the radius
circumference = 2πr
-Substitution
2.9 = 2πr
-Solve for r
r = 2.9/2π
r = 1.45/π cm
2) Calculate the volume of the cone
Volume = 1/3πr²h
-Substitution
Volume = 1/3π(1.45/π)²(14.9)
-Simplify
Volume = (1.04)(0.213)(14.9)
Volume = 3.30 cm³
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