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Eddi Din [679]
3 years ago
5

two similar cones have surface areas in the ration 4:9. find the ration of their lengths and their volumes

Mathematics
2 answers:
11111nata11111 [884]3 years ago
6 0
Well, the ratio of area is (Ratio of length)^2. So we work backwards. 

<span>ROL = [sqrt] 4:9 </span>
<span>= 2:3 </span>

<span>and its the same for height, because height is a length. </span>

<span>NB: Ratio of volume = (Ratio of length)^3</span>
Shalnov [3]3 years ago
3 0
<em>Cone : r radius of </em><em>bottom circle,  L lateral length,  h = perpendicular height</em>
<em>
   Total surface area = π r² ( 1 + L / r )             Volume = 1/3 π r² h
   L²  = r² + h²

   Similar cones =>  r1 : r2  = L1: L2  =  h1 : h2
                         =>  L1 / r1 = L2 / r2  
</em><em>  => 1+ L1/r1  = 1 + L2/r2</em>
<em>   S1 : S2 = 2² : 3²  = r1² : r2²</em>
<em>   r1 : r2 = 2 : 3  also  h1 : h2 = 2 : 3</em>
<em>  </em>
<em>   Volumes V1 : V2 =  r1² h1 / r2² h2  = (2/3)² 2/3  = 8 / 9</em>


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chubhunter [2.5K]
V = (1/4)(π* d² * h) 
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<span>V = (1/4)(1200π) </span>
<span>V = 300π </span>
<span>[ V ≈ 942 cubic units . . . . . to 3 s.f. ] </span>
<span>V ≈ 942 cubic units 
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8 0
3 years ago
Read 2 more answers
U(8, 9) and V(2, 5) are the endpoints of a line segment. What is the midpoint M of that line segment?
Crazy boy [7]

Answer:

(5, 7 )

Step-by-step explanation:

Given 2 points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]

here (x₁, y₁ ) = U(8, 9) and (x₂, y₂ ) = V(2, 5), thus

midpoint = [0.5(8 + 2), 0.5(9 + 5) ] = [0.5(10), 0.5(14) ] = (5, 7 )

6 0
4 years ago
Which is the graph of the linear inequality y &lt; 3x + 1? On a coordinate plane, a solid straight line has a positive slope and
AlladinOne [14]

Answer:y6

Step-by-step explanation:

8 1
3 years ago
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What 12/12+12/12+8/12=
Fudgin [204]

Answer:

8/3

Step-by-step explanation:

3 0
3 years ago
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A coin is tossed and an eight​-sided die numbered 1 through 8 is rolled. Find the probability of tossing a head and then rolling
ratelena [41]

Answer: 7/8

Step-by-step explanation:

Probability is calculated by number of possible outcomes/ total outcomes

From the question, a coin only has two sides, Head or Tail. Total outcomes is therefore equal to 2

Possible outcome is to toss a head, which is one event

Probability of tossing a head is therefore =1/2

The second part of the question is rolling a die with eight sides.

Here, the die is said to have eight sides, 1,2,3,4,5,6,7,8. Total outcomes is therefore equal to 8

Possible outcome of rolling a number greater than 5 is 3 possibilities, that is rolling 6, 7 and 8.

Pr(rolling > 5) is 3/8

Therefore, Pr ( head; rolling > than 5)

= 1/2 + 3/8

=7/8

I hope this is clear, please mark as brainliest answer

6 0
4 years ago
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