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Mnenie [13.5K]
3 years ago
14

The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the

base area of the cone. What is the expression for the volume of the pyramid in terms of the radius rof the cone?
Mathematics
1 answer:
iris [78.8K]3 years ago
8 0

Answer:

v = 3πr^2

  • Step-by-step explanation:

v=1/3bh

v=1/3(πr^2)h [because the bases are equal and the base of a cone is circle]

v=1/3(πr^2)(3r) [because the height is 3 times the radius]

v=π3r^2 [1/3 and 3 cancel and we times 3r and r^2]

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members of the wide waters club pay 105 dollars per summer season, plus 9.50 each time they rent a boat. Nonmembers must pay 14.
WITCHER [35]
When handling problems of this nature make sure you setup the equations. 
x = number of times they rent a boat. 

Members 
Cost = 105 + 9.50x
Non members because members don't have to pay the 105 we leave it out. 
Cost = 14.75x 

so now to determin when cost would be equal we set the two equations = to each other

105 + 9.50x = 14.75x 

now solve for x 

105 = 5.25x
 
20 = x 

so they would have to rent 20 times to equal each other. 
4 0
3 years ago
Help please! 16 points
emmainna [20.7K]

Answer:

3

Step-by-step explanation:

divide the top number by the bottom to always find the constant of proportionality :D

6 0
3 years ago
Read 2 more answers
What number goes on top and how do you solve it.
vekshin1
So basically, each number is equal to the two numbers below it added together.

See, 7 = 3+4, 8 = 5 +3, etc.

So, the top would be 16 + 17.

16 + 17 = 33

So 33 goes on top.
4 0
3 years ago
A basketball has a diameter of 10 in. Using = 3.14, what is the approximate volume of the basketball in cubic inches?
m_a_m_a [10]

Answer:

523.3 cubic inches

Step-by-step explanation:

A basketball has a diameter of 10 in. Using = 3.14, what is the approximate volume of the basketball in cubic inches?

The shape of a basketball is spherical.

Hence:

The volume of a basketball = 4/3 × π × r³

From the question,

π = 3.14

r = radius = Diameter/2

r = 10 in/2 = 5 in

Hence:

The volume of the basketball

= 4/3 × 3.14 × 5³

= 1570 ÷ 3

= 523.33333333 cubic inches

Therefore, the approximate volume of the basketball = 523.3 cubic inches

5 0
3 years ago
Given a sample size n, how will the distribution of the sample mean behave?
Keith_Richards [23]
Answer:
Provided that the sample size, n, is sufficiently large (greater than 30), the distribution of sample means selected from a population will have a normal distribution, according to the Central Limit Theorem.

Explanation:
1. As n increases, the sample mean approaches the population mean
   (The Law of Large numbers)
2. The standard error of the sample is
     σ/√n
     where σ = population standard deviation.
     As n increases, the standard error decreases, which means that the error    
     between the sample and population means decreases.

5 0
3 years ago
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