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romanna [79]
3 years ago
12

PLEASE HELP ME!! A right circular cone has a radius of 6 inches and a volume of 180 cubic inches. What is the height of the cone

? Please answer without using pi. Thank you
A. 5 in.
B. 15 in.
C. 25 in.
D. 90 in.
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
0 0
Volume of the cone = \frac{1}{3}  \pi  x^{2} h

Given that the <span>volume is 180 cubic inches
</span>\frac{1}{3} \pi r^{2} h = 180 

Given that the radius is 6m
\frac{1}{3} \pi 6^{2} h = 180 

Evaluate 
\frac{1}{3} \pi (36) h =  180 
12\pi h =  180 
h =  180  ÷ (12 \pi)
h = 4.77  ≈ 5 inches (Answer A)


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