A pile of sand is in the shape of a cone. The diameter of the sand pile is 18 ft and the height is 10 ft. What is the volume?

Step-by-step explanation:

Since the pile of sand is conical, we would apply the formula for determining the volume of a cone which is expressed as

Volume = 1/3 × πr²h

Where

r represents the radius of the cone.

h represents the vertical height of the cone.

π is a constant whose value is 3.14

From the information given,

Diameter = 18 feet

Radius = Diameter/2 = 18/2

Radius = 9 feet

Height = 10 feet

Therefore,

Volume = 1/3 × 3.14 × 9² × 10

Volume = 1/3 × 3.14 × 81 × 10

Volume = 847.8 ft³

c-4 is the final answer! : )

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)