The volume of a cylinder with height to radius ratio of 4:1 is 108 pie centimeters cubed. Find the radius and height of the cylinder.

Answers

Answer 1

Answer: $H:r=4:1\n\n(H)/(r)=(4)/(1)\to H=4r\ (*)\n\nV=108\pi\ cm^3\n\nV=\pi r^2H\n\nsubstitute\ (*)\n\n\pi r^2\cdot4r=108\pi\ \ \ \ /:4\pi\n\nr^3=27\n\nr=\sqrt[3]{27}\n\nr=3\ (cm)\n\nH=4r=4\cdot3=12\ (cm)\n\nAnswer:radius=3\ cm\ and\ height=12\ cm.$

Answer 2

Answer: 4:1 height to radius
let x be radius
let 4x be height

V=(pi)(r)^2h
108(pi)=(pi)x^2(4x)
divide both sides by pi
108=x^2(4x)
108=4x^3
divide both sides by 4
27=x^3
cube root both sides
x=3

therefore the radius is 3 and the height is 12

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A student needs to make a circular cardboard piece with an area between 154 square inches and 616 square inches. The function f(r) relates the area of the cardboard piece, in square inches, to the radius r in inches. Which of the following shows a reasonable domain for f(r)?A) 7 < r < 14
B)154 < r < 616
C) all positive integers less than 7
D) all positive integers between 14 and 154

Question 35 (Multiple Choice Worth 1 points)

(04.02)

An expression is shown below:

square root of 18 plus square root of 2

Which statement is true about the expression?

A) It is rational and equal to 3.
B)It is rational and equal to 4.
C)It is irrational and equal to 3 multiplied by the square root of 2.
D) It is irrational and equal to 4 multiplied by the square root of 2.

Answers

Given:
circular cardboard with an area between 154 in² and 616 in²

Area of a circle = πr²
154 in² = 3.14 * r² 616 in² = 3.14 * r²
154 in² / 3.14 = r² 616 in² / 3.14 = r²
49 in² = r² 196 in² = r²
√49 in² = √r² √196 in² = √r²
7 = r 14 in = r

Radius is between 7 inches and 14 inches. ⇒ A) 7 < r < 14

√18 + √2 = √9 *2 + √2 = 3√2 + √2 = (3+1) √2 = 4√2

D) It is irrational and equal to 4 multiplied by the square root of 2.

Can someone please tell me if I’m correct thanks I really need an answer thanks

Answers

Answer:

yeah im pretty sure you are

Step-by-step explanation:

Answer:

the last one is the correct answer

Step-by-step explanation:

In order for it to be proportional it has to go through the origin (0,0)

Proportional - y=mx

Non Proportional - y=mx+b

The stopping distance (s) of a car varies directly as the square of its speed (v). If a car traveling 20 mph requires 60 ft to stop, find the stopping distance for a car traveling 40 mph. Round to the nearest tenth.

Answers

Answer:

The stopping distance for a car traveling 40 mph is 240 feet.

Step-by-step explanation:

We are given the following in the question:

The stopping distance (s) of a car varies directly as the square of its speed (v)

$s\propto v^2$

Removing the sign of proportionality and adding constant of proportionality, we get

$s = kv^2$

where k is constant of proportionality.

Now, when s = 60 feet, v = 20 mph

Putting values, we get,

$60 = k(20)^2\n\nk = (60)/(400) = 0.15$

Putting value of k in the equation, we get,

$s = 0.15v^2$

We have to find the stopping distance for a car traveling 40 mph.

$s = 0.15(40)^2 = 240\text{ feet}$

Thus, the stopping distance for a car traveling 40 mph is 240 feet.

A number that if multiplied by 6 and then increased by 48 will result to 600

Answers

Answer

Step-by-step explanation:

take 48 minus 600, you get 552 now divide 6 by 552 and you get your answer.

The sum of three consecutive multiples of 7 is 777 find these multiples

Answers

$7n+7n+7+7n+14=777\n21n=756\nn=36\n\n7n=252\n7n+7=259\n7n+14=266$

252,259,266

let the consecutive multiples be 7(n-1) , 7n and 7(n+1)

so 7(n-1)+7n+7(n+1)=777

or 3n=111,

n=37

252,259,266

A firefighter is attempting to escape a burning building. If the window is of the man's apartment is 18 feet above the ground and the ladder is 25 feet long, what is the angle of elevation?

Answers

Answer:

37.75⁰

Step-by-step explanation:

Height of the building = 18 feet (vertical height)

Height of the ladder = 25 feet (Hypotenuse)

We solve this using tan θ = $(adjacent)/(hypotenuse)$

therefore θ = tan⁻¹ ( $(18)/(25)$ )

θ (Angle of elevation) = 37.75⁰

Other Questions

-18=d+4 plZ hurry thank you so much have a great day

A cell phone manufacturer chose 200 people at random and asked them whether they would purchase the newest model for $300. The manufacturer repeated this survey using the same method three more times.Do any of the surveys appear to be biased? Would purchase new model for $300? Survey 1 2 3 4 Yes 127 131 128 133 No 73 69 72 66 A. Yes, because the results from Survey 1 differ the most from the other surveys’ results. B. Yes, because the results from Survey 4 differ the most from the other surveys’ results. C. No, because the sampling methods are all different but have about the same results. D. No, because all four surveys have about the same number of people saying “yes” and about the same number of people saying “no.”

Read the complete problem before answering. Tang bought m of rope. Rope costs $1.30 a meter. How much did Tang spend? A student solved the problem this way. m = 1.5 m Let n represent the amount Tang paid for rope. n = 1.5 × $1.30 n = $1.95 Tang spent $1.95. Use a similar strategy to solve this problem. Jeff bought yards of blue denim and yards of black denim. Denim cost $4.30 a yard. How much did Jeff spend on denim? A. $3.50 B. $7.80 C. $12.90 D. $15.05

Solve the problem. Find the diameter of a circle that has a circumference of 942 meters.