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
Kruka [31]
2 years ago
8

cone is inscribed in a cylinder. A square pyramid is inscribed in a rectangular prism. The cone and the pyramid have the same vo

lume. Part of the volume of the cylinder, 1 V 1 , is not taken up by the cone. Part of the volume of the rectangular prism, 2 V 2 , is not taken up by the square pyramid. What is the relationship of these two volumes, 1 V 1 and 2 V 2 ?
Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
8 0

Answer:

The answer is "v_1 \ and\ v_2 are equal".

Step-by-step explanation:

Its volume could be defined both by cone as well as the cylinders

\to \text{(base area)} \times \text{(solid height)} \times (\frac{1}{3})\\\\

We are planning to write this as V = \frac{Bh}{3}

When we relate this formula to the cylindrical and prism volume formula, we can see that when we multiply the cone volume by 3, the cylinder size where it is registered comes in. The very same goes for the pyramid as well as the inscription of the rectangular prism. That both pyramid and the cone have the same volume V, hence it would have the same volume of a cell and rectangle prism. v_1 \ and\ v_2 are so similar.

You might be interested in
13. Yao has 8 hours to finish reading a 300-page book. He has already read 120 pages. Yao read 50
Soloha48 [4]
B I think sorry if I’m wrong on mine it say that’s right
4 0
2 years ago
Solve In (2x-1)=8
Verdich [7]
I believe you are missing some information here as the answer to the question as it is written is 4.5
7 0
3 years ago
An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholde
n200080 [17]

Answer:

(a)

\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}

(b)

P(3 \le x \le 6) = 0.30

P(4 \le x)=0.60

Step-by-step explanation:

Given

F(x) = \left[\begin{array}{ccc}0& x

Solving (a): The pmf

This means that we list out the probability of each value of x.

To do this, we simply subtract the current probability value from the next.

So, we have:

\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}

The calculation is as follows:

0.30 - 0 = 0.30

0.40 - 0.30 = 0.10

0.45 - 0.40 = 0.05

0.60 - 0.45 = 0.15

1 - 0.60 = 0.40

The x values are gotten by considering where the equality sign is in each range.

1 \le x < 3 means x = 1

3 \le x < 4 means x = 3

4 \le x < 6 means x=4

6 \le x < 12 means x = 6

12 \le x means x = 12

Solving (b):

(i)\ P(3 \le x \le 6)

This is calculated as:

P(3 \le x \le 6) = F(6) - F(3-)

From the given function

F(6)= 0.60

F(3-) = F(1) = 0.30

So:

P(3 \le x \le 6) = 0.60 - 0.30

P(3 \le x \le 6) = 0.30

(ii)\ P(4 \le x)

This is calculated as:

P(4 \le x)=1 - F(4-)

P(4 \le x)=1 - F(3)

P(4 \le x)=1 - 0.40

P(4 \le x)=0.60

8 0
2 years ago
The length of a rectangle is 2 ft longer than its width.
notsponge [240]
If the length is 2ft longer than it’s width
Let’s assume width as X and so the length will be X+2
Perimeter=40ft
Putting the values into a equation, we get,
X+2+X=40
=2X+2=40
=2X=38
=X=19
Therefore
Length =X+2=19+2
=21ft
Width=X=19ft
Area of rectangle =lxb
= 21x19
3992ft
HOPE IT WAS HELPFUL :)
6 0
3 years ago
!!20 points and Brainliest please help!!!
vitfil [10]

D) ac + ad + bc + bd

Hope it helps :)

7 0
2 years ago
Read 2 more answers
Other questions:
  • The average rate of change from x = 0 to x = 15 is about −4.667. How does the average rate of change from x = 0 to x = 20 compar
    9·1 answer
  • Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 − 9x2 − 108x + 6, [−3, 4]
    9·2 answers
  • Whick is larger 3kL or 30000 L?
    13·2 answers
  • Helpppppppppppppppppppp mathhhhhhhhhhh
    12·1 answer
  • A closet contains 5 pairs of pants, 7 shirts, and 3 pairs of shoes. How many leaves on a tree diagram would represent all possib
    7·2 answers
  • A total of 676 tickets were sold for the school play. They were either adult tickets or student tickets. There were 74 fewer stu
    10·1 answer
  • Write the expanded form of 0.68 with decimals
    5·1 answer
  • Prove this plzzz help me​
    8·1 answer
  • A cylinder has radius 1.6 m it's a volume is 95 m find its height to the nearest tenth of a meter
    12·1 answer
  • What is the proportional eqaution D = n
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!