1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna11 [10]
2 years ago
13

A container is an open cylinder whose height and radius are of equal length. The total surface area of the container is 300 cm³.

Find the radius of the container.​
Mathematics
1 answer:
user100 [1]2 years ago
3 0

Answer:

  • The radius of the container is approximately 4.89 cm

Step-by-step explanation:

<h3>Given </h3>

A container with:

  • r = h
  • S = 300 cm²

<h3>To find</h3>

  • The radius of the container

<h3>Solution</h3>

Use the equation for total surface area of cylinder:

  • S = 2πr² + 2πrh or S = 2πr(r + h)

Since we have r = h and the value of S is known, let's solve this equation:

  • 2πr(r + h) = 300
  • 2πr(r + r) = 300
  • 2πr(2r) = 300
  • 4πr² = 300
  • πr² = 75
  • 3.14r² = 75
  • r² = 75/3.14
  • r² = 23.89 (rounded)
  • r = √23.89
  • r = 4.89 cm (rounded)
You might be interested in
Given the points A(3, 4) and B (6, 10), find the
Dvinal [7]

Answer:

P (5 , 8)

Step-by-step explanation:

P (x,y) partition A (x₁ , y₁) B (x₂ , y₂) into ratio AM:MB = a:b = 2:1  ... a=2 , b=1

x = (bx₁ + ax₂) / (a+b)

  = (1 * 3 + 2 * 6) / (2 + 1)

  = 15/3

  = 5

y = (by₁ + ay₂) / (a+b)

  = (1 * 4 + 2 * 10) / (2 + 1)

  = 24/3

  = 8

P (5 , 8)

8 0
3 years ago
Write an equation that shows the relationship between x and y.
svp [43]
Write an equation to describe the relationship between the corresponding values of x and y shown in the table.
8 0
3 years ago
What is the solution to the equation?<br> -4 = 1<br> .<br> Enter your answer in the box.<br> X=
beks73 [17]

Step-by-step explanation:

I'm not sure about my answer

6 0
2 years ago
Write the expression in standard form: 4y - (3+y)
Firdavs [7]
4y - (3+y) is standard form is: 3y - 3
4 0
3 years ago
A function f is defined by f(x) = 2x - 3. By writing the full working, write the values of (a) f(0) (b) f(-2) (c) f(3) (d) f(-1)
AlladinOne [14]
A) f(x) = 2x - 3
f(0) = 2(0) - 3
f(0) = 0 - 3
f(0) = -3

b) f(x) = 2x - 3
f(-2) = 2(-2) - 3
f(-2) = -4 - 3
f(-2) = -7

c) f(x) = 2x - 3
f(3) = 2(3) - 3
f(3) = 6 - 3
f(3) = 3

d) f(x) = 2x - 3
f(-1) = 2(-1) - 3
f(-1) = -2 - 3
f(-1) = -5
6 0
3 years ago
Other questions:
  • The National Research Council recommends keeping 3:1 cooper to zinc ration in a horse’s diet.if the horse is getting 420mg of zi
    11·2 answers
  • 125,328 to the nearest 1000
    6·2 answers
  • Evaluate [4+(15+3)÷9]×7
    15·1 answer
  • Give the degree of the polynomial​
    13·2 answers
  • What is the area of the quartz crystal he was studying, in square feet. <br><br><br> Help please
    15·2 answers
  • Help would be greatly appreciated :)
    10·1 answer
  • Please help!!! Trigonometry is so complicated to me
    7·1 answer
  • Container X has 2 cups of water with 6 teaspoons of sugar. Container Y has 4 cups of water with 8 teaspoons of sugar. In which c
    10·1 answer
  • Thabaneng high school is considering renting a photocopier. they approached two companies (company A and B).company A:charges a
    7·1 answer
  • Noah made 12 \text{ kg}12 kg12, start text, space, k, g, end text of trail mix for his family's hiking trip. His family ate 8{,}
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!