Question

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.

Answer 1

Answer:

When circumference = 6.3 then radius =

circumference / (2 * PI) = 6.3 / (6.283) =

radius = 1.0027

Cone Volume = PI * radius ^2  * height / 3

Cone Volume = PI * 1.0027^2 * 17 / 3

= 17.898 cubic meters which rounds to

17.9 cubic meters

Source: https://www.1728.org/volcone.htm

Step-by-step explanation:

Answer 2

Answer: 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