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
Stels [109]
3 years ago
5

A cone has radius 5x cm and a height 12x cm.A sphere has radius r cm.The cone has the same total surface area as the sphere.Show

that r²=45÷2 x². (The curved surface area,A, of a cone with radius r and slant height l is A=πrl.) (The surface area,A, of a sphere with radius r is A=4πr².)
someone please help with this last one
Mathematics
1 answer:
Lana71 [14]3 years ago
8 0

Answer:

r^2 = 45÷2 x^2

Step-by-step explanation:

Details of cone:

Radius(r) = 5x cm

Height(h) = 12x cm

Slant height(l) = √(12x^2 + 5x^2)

l = 13x cm

Total surface area of a cone (T. S. A) = πrl + πr²

T. S. A = π * 5x * 13x + π5x^2

T.S.A = π65x^2 + π5x^2

T.S.A = π65x^2 + π25x^2

T.S.A = 90πx^2 - - - - - (1)

Details of sphere:

Radius (r) = r cm

Total surface area = 4πr²

Total Surface area of sphere= 4πr²cm - - - (2)

Equating (1) and (2) to calculate r

4πr² = 90πx^2

r^2 = 90πx^2 / 4π

r^2 = 90π (x^2) / 4π

r^2 = 45/2 (x^2) ;

r^2 = 45÷2 x^2

Hence the proof

You might be interested in
HELP ASAP!!!!! WILL GIVE 20 POINTS AND BRAINLIEST!!!!!
Gala2k [10]

Answer:

C.

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP!!!<br> Find the angle measures and explain
alexandr1967 [171]
The answer to your problem is C
6 0
2 years ago
PLEASE HELP ASAP!!! 98 POINTS AND BRAINLIEST!!!
Setler [38]

Answer:

Part A. The slope of f(x) is 4. I observed that each time the y value would increase by 4 points every time the x value increases by 1. The slope of g(x) is 2. I identified the m value as it's in slope-intercept form. The slope of f(x) is greater then that of g(x) because 4>2

Part B. The y-intercept of f(x) is greater. It is given that when x is 0, y is -1, so the y intercept of f(x) is -1. Meanwhile, the y-intercept of g(x) is -7 after identifying the b value. -7<-1, concluding that f(x) has a greater y-intercept

Step-by-step explanation:

ty for the points

4 0
3 years ago
What is a theory in science​
alina1380 [7]

A scientific theory is a validated explanation of some aspect of the natural world, based on multiple facts that have been frequently verified through research and experimentation. Fact theories are not "guesses" but reliable accounts of the real world.

3 0
3 years ago
A recipe calls for 15 oz of flour for every 8 oz of milk .is the relationship between ounces of four and ounces of milk proporti
pantera1 [17]
Yes, they are proportional because if you increase or decrease either amount they will both change. They will always have the same size. For example if I want to double the flour, I will have to double the milk as well because they have the same ratio. 
6 0
2 years ago
Read 2 more answers
Other questions:
  • 3.29 x 1000=3290<br> 329000 x 100=3290<br><br> Explain how they got the same answer<br> *help*
    9·1 answer
  • Melanie buys 2 shells for $0.80. Rosi buys 3 shells for $1.20. Carlos buys 4 shells for $1.60. Use the graph to represent this s
    5·1 answer
  • The sum of two integers is eight. give two examples of what this number could be
    15·1 answer
  • The cost price of a crate of 180 apples cost RM 81. The greengrocer threw away the bad
    7·1 answer
  • 18x-(8x-7)=67 <br><br> SHOW WORK AND CHECK
    14·2 answers
  • What is the expanded form of x(x+6)
    6·2 answers
  • PLS HELP aSSAP I NEED HELP REALLY QUICK
    6·2 answers
  • Needddd helppp plzzzzz
    10·1 answer
  • Solve the following equation<br>7/3x=5​
    9·2 answers
  • Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(6, 0) and line
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!