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
Vinil7 [7]
3 years ago
11

The region between the graphs of X = y2 and X = 5y is rotated around the line y=5. The volume of the resulting solid is_________

.

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
4 0

Answer and Step-by-step explanation:

The volume of the resulting solid is shown below:-

The lines in for

y can be y = sqrt(x) using square root

and y = x ÷ 5

In this, the intersect is done when sqrt(x) = x ÷ 5  using square root

Now

x = x^2 ÷ 25

x = 0

or

x = 25

so outermost is x ÷ 5 innermost is sqrt(x)  using square root

Therefore A is

= integral of pi ( (x ÷ 5-5)^2 - (sqrt(x)-5)^2)  using square root

from 0 to 25

= 625 pi ÷ 6

You might be interested in
A street lamp casts a shadow 31.5 feet long, while an 8 foot-tall street sign casts a shadow of 14 feet long. What is the length
sergeinik [125]

Answer:

The answer to your question is the height of the lamp is 18.2 ft

Step-by-step explanation:

Data

Street lamp shadow = 31.5 ft

Street sign height = 8 ft

Street sign shadow = 14 ft

Street lamp height = x

Process

1.- To find the height of the lamp use proportions. In this kind of problem, we do not look for the length, but the shadow.

Street lamp height/street lamp shadow = street sign height/street sign

                                                                                                         shadow

Substitution

                                             x / 31.5 = 8 / 14

Solve for x

                                            x = (31.5)(8) / 14

Simplification

                                            x = 254.4 / 14

Result

                                            x = 18.2 ft              

4 0
3 years ago
Trisha needs 41/2 yards of fabric to do a project. If she already has2/3 of a yard of fabric, what is the minimum amount of fabr
RUDIKE [14]
We know that
<span>4 1/2----------> (4*2+1)/2--------> 9/2
(2/3)*(9/2)------> 18/6--------->3 yd  (</span><span>this is what Trisha has )</span>
<span>if she has (2/3) she only needs (1/3)
</span><span>
[</span>the minimum amount of fabric she must buy]=(9/2)*(1/3)=1.5 yd

the answer is 
the minimum amount of fabric she must buy is 1.5 yd
8 0
3 years ago
Here are the ingredients for making pineapple sorbet for 6 people. 800g 4 egg whites 1/2 lemon 100g cater sugar Ann makes pineap
zhuklara [117]
She would use 1200g of pineapple.
6 0
3 years ago
I need help what is the answer
alukav5142 [94]

Answer:

245

Step-by-step explanation:

To find the value of a function at a specific point you can substitute that point into the equation.

For the function f(x)=\frac{1}{5}(3-x)^{2}, the specific point would be substituted in for every x in the equation.

f(-32)=\frac{1}{5} (3-(-32))^{2}=\frac{1}{5}(35)^{2}=\frac{1225}{5}=245

8 0
3 years ago
Read 2 more answers
Can you please help me with the subtraction
exis [7]
For this equation, all are subtraction symbols which means you don't need to care about the parenthesis as they do nothing. 

Basically, it's the associative property because the parenthesis do nothing to the equation and both sides stay the same
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the integer for 3 people join?
    13·1 answer
  • Go Math grade 6 standards practice workbook common core edition pages 101 &amp; 102
    9·1 answer
  • Which equation is rewritten in vertex form
    9·1 answer
  • 5. Express log2 6 + log2 7 as a single logarithm.
    10·1 answer
  • `DeltaABC` is congruent to `DeltaADC`. If the square ABCD is dilated by a factor of 2 to form A'B'C'D', what is the ratio of the
    7·1 answer
  • Dave puts $200 in a savings account earning 2.5% annual simple interest. Assume Dave makes no other deposits or withdrawals on t
    6·1 answer
  • Which of the following statements are true? Select all that apply.
    5·1 answer
  • 1) A taxi charges $1.80 plus $0.40 per mile, m. Write an equation and solve to determine the number
    11·2 answers
  • Greg has $2 in a savings account that earns 5% interest, compounded annually.
    11·1 answer
  • Find X<br> 5x<br> A) 11<br> C) 2<br> B) -1<br> D) -2
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!