Find the volume of a right circular cone that has a height of 15.4 m and a base with a
circumference of 18 m. Round your answer to the nearest tenth of a cubic meter.

Volume = 132.4 cubic m

Step-by-step explanation:

Volume formula

V = (1/3)π r^2 *h

C = 2π*r

C = 18 m

h = 15.4 m

r = 18/2π

V = (1/3)π r^2 *h

V = (1/3)π (18/2π)^2 *(15.4)

V = 415.8/π  cubic m

V = 132.3532  cubic m

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3