Nuala is making a volcano for a science experiment. First, she constructs the cone. The circumference of its base is 125.6 inche
s. The height of the cone is 33 inches. What is the volume of Nuala's cone? Remember: C= pi x diameter
1 answer:
Answer:
34072.3 in³
Step-by-step explanation:
Step 1
The circumference of its base is 125.6 inches.
C= pi x diameter
Find the radius of the base
C/ π = Diameter
Diameter = 125.6 in/2
= 62.8 in
Step 2
The height of the cone is 33 inches.
Radius = Diameter/2
Radius = 62.8 in/2
= 31.4 in
Volume of a cone: V = (1/3)πr²h
= 1/3 × π × (31.4)² × 33
= 34072.33162 in³
Approximately = 34072.3 in³
Therefore, the volume of Nuala's cone is 34072.3 in³.
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