What is the volume of this traffic cone with a diameter of 20 inches and a height of 36 inches?

volume of a cone =  3770 inches³

Step-by-step explanation:

to find the volume of a traffic cone whose diameter = 20inchhes

height of the cone = 36 inches

Recall that the fomular for finding the volume of a cone = 1/3 πr²h

note the radius was not given , to find the radius

radius = 1/2 × Diameter

radius = 20/2 inches

radius = 10inches

volume of a cone = 1/3 πr²h

volume of a cone = 1/3 × 22/7 × ( 10)² × 36

volume of a cone =  1/3 × 3.142 × 100 × 36

volume of a cone = 1/3 × 3.142 × 3600

volume of a cone = 11311.2/3

volume of a cone =  3770.4 inches³

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.