Nuala is making a volcano for a science experiment. First, she constructs the cone. The circumference of its base is 125.6 inche

Question

2 years ago

13

s. The height of the cone is 33 inches. What is the volume of Nuala's cone? Remember: C= pi x diameter

1 answer:

Reika [66] · Answer 1 · 2022-08-09T04:57:55+03:00

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.