Daisy is making solid spikes for her Halloween costume. The spikes are shaped like right circular cones with base radius of 2 inches and height of 6 inches. If daisy has 360 cubic inches of material for making the spikes, what is the maximum number of spikes she can make

Daisy can make a maximum of 14 spikes

The maximum amount of spikes she can make can be determined by dividing the volume of the material by the volume of the cone

Maximum spikes = Volume of the material / volume of the cone

Volume of the cone = πr²h

Where:

r = radius = 2 in

h = height = 6 in

π = pi = 22/7

× x 2² × 6 = 25.14 in³

Maximum spikes = 360 / 25.14 = 14.3

This would be 14 approximately

To learn more about a cone, please check: link

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

110698.56 square miles

step-by-step explanation:

multiply 3.8 by 102

387.6

multiply 2.8 by 102

285.6

multiply those two to get