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

b

step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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