The volume of a right circular cone that has a height of 17 m and a base with a circumference of 6.3 m. Round your answer to the nearest tenth of a cubic meter.

volume of the cone is 17.9m³

Step-by-step explanation:

The formula for determining the circumference of the a circle is expressed as

Circumference = 2πr

Since the circumference of the base of the cone is 6.3m, π = 3.14, then

2 × 3.14 × r = 6.3

6.28r = 6.3

r = 6.3/6.28

r = 1.003m

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Where

h represents the height of the cone

r represents the radius of the cone

π is a constant whose value is 3.14

From the information given

Height = 17 meters

Radius = 1.003 meters

Therefore,

Volume of cone = 1/3 × 3.14 × 1.003² × 17

= 17.9 m³

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