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
lora16 [44]
3 years ago
10

A square of side length s lies in a plane perpendicular to a line L. One vertex of the square lies on L. As this square moves a

distance h along​ L, the square turns one revolution about L to generate a​ corkscrew-like column with square​ cross-sections.a) Find the volume of the column.
b) What will the volume be if the square turns twice instead of once? Give reasons for your answer.
Mathematics
1 answer:
user100 [1]3 years ago
5 0

Answer:

Part (A) The required volume of the column is s^2h.

Part (B) The volume be s^2h=\frac{s^2h}{2}+\frac{s^2h}{2}.

Step-by-step explanation:

Consider the provided information.

It is given that the we have a square with side length "s" lies in a plane perpendicular to a line L.

Also One vertex of the square lies on L.

Part (A)

Suppose there is a square piece of a paper which is attached with a wire through one corner. As you blow it up it spins around on the wire.

This square moves a distance h along​ L, and generate a​ corkscrew-like column with square​.

The cross section will remain the same.

So the cross section area of original column and the cross section area of twisted column at each point will be the same.

The volume of the column is the area of square times the height.

This can be written as:

s^2h

Hence, the required volume of the column is s^2h.

Part (B) What will the volume be if the square turns twice instead of once?

If the square turns twice instead of once then the volume will remains the same but divide the volume into two equal part.

s^2h=\frac{s^2h}{2}+\frac{s^2h}{2}

Hence, the volume be s^2h=\frac{s^2h}{2}+\frac{s^2h}{2}.

You might be interested in
The equation y−5=-2(x−3)y-5=-2(x-3) is in point-slope form. What is this equation in slope-intercept form?
adelina 88 [10]
The answer is y=-2x+11

5 0
3 years ago
What's the answer for this? Explain
alexandr402 [8]
Exterior angle is equal to sum of interior opposite angles hence,

req. angle = 80 + 62 = 142
6 0
3 years ago
Read 2 more answers
Solve the equation.<br> -6p=48
malfutka [58]

Answer:

p=-8

Step-by-step explanation:

A negative multiplied by a negative is a positive.

3 0
3 years ago
What is the median of 6 8 10 12 12 15 15 20?​
I am Lyosha [343]

Answer:

I think is 12..........

8 0
2 years ago
Read 2 more answers
If AM = x + 8 and MB= 6x – 2, find MB.
IrinaK [193]

Answer:

10

Step-by-step explanation:

Firstly, AM=x+8

or, A=x+8-M......eqn (i)

MB=6x-2

or, B=6x-2-M......eqn (ii)

Now,

from eqn (i) and (ii)

x+8-M=6x-2-M

or, 8+2=6x-x-M+M

or, 10=5x

or, 10÷5=x

therefore, x=2

Again,

MB=6x-2

=6×2-2

=12-2

=10

is it correct

please mark me as BRAINLIEST

8 0
2 years ago
Other questions:
  • What is the approximate length of VU? What is the length of the midsegment parallel to VU?
    12·1 answer
  • 2/11 , 8/15, 7/13, 5/12<br> Which fraction does not belong with the other three?
    7·1 answer
  • The singing competition started with 794 contestants. Now, only 247 contestants are still in the competition. How many contestan
    14·1 answer
  • A cereal company fills boxes with 16 ounces of cereal. The acceptable percent error in filling a box is 2.5%. find the least and
    9·2 answers
  • Is this correct ???? please help
    12·1 answer
  • Which of these r-values represents the strongest correlation? A. -0.6 B. -0.9 C. -0.7 D. -0.8
    13·2 answers
  • Determine whether each number could be the probability of an event. Explain your reasoning.
    5·1 answer
  • If 2x-4(3-x)=18, then x=_____? Can someone please help me with this problem
    10·1 answer
  • 20) The sales tax on a $25 shirt purchased at the Laker Store in Russell Springs is $1.99. What is the sales tax rate in Russell
    13·1 answer
  • Mhanifa please help im almost done !!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!