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
snow_tiger [21]
3 years ago
15

Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis. y = x3/4, x = 0

, y = 1 (in the first quadrant); about the y-axis
Mathematics
1 answer:
vovangra [49]3 years ago
3 0

Answer:

7.92 cubic units

Step-by-step explanation:

The volume formed is V = ∫πx²dy

Now, since y = x³/4, x = ∛(4y). Also if x = 0, y = 0³/4 = 0 and the curve intersects the line y = 1. So the limits of integration are y = 0 to y = 1

So, V = ∫₀¹πx²dy

= ∫₀¹π[ ∛(4y)]²dy

= π(∛4)²∫₀¹[ ∛(y]²dy

= π(∛4)²∫₀¹y^³/₂dy

= π(∛4)²[y^⁵/₂]₀¹

= π(∛4)²[1^⁵/₂ - 0^⁵/₂]

= π(∛4)²[1 - 0]

= π(∛4)²

= 7.92 cubic units

You might be interested in
Plzzzzzzzzzzzzzzzzzzzzz help
weqwewe [10]

Answer:

i think its 3/8 because if 5/8 are male the rest are female so you de 8/8 - 5/8 and you will get 3/8 but i dunno why it says about the aquariaum when the question is about how many female staff therer are

6 0
2 years ago
What is the slope of the line that passes through the points (2, –3) and (–2, 5)?
Evgen [1.6K]
The answer is b) 1/2 
3 0
3 years ago
Read 2 more answers
This scale has a meaningful zero point and equal intervals; therefore, it can be manipulated by all mathematical principles
Y_Kistochka [10]
The answer is D. Ratio scale.
8 0
2 years ago
For which pair of points can you use this number line to find the distance?
Brilliant_brown [7]

Answer:

(2,0) and (2,3)

Step-by-step explanation:

3 0
3 years ago
The height of a triangle is twice the length of its base. The
lions [1.4K]

Answer:

height = 14.2 m , base = 7.1 m

Step-by-step explanation:

let the base be b then height h = 2b

The area (A) of a triangle is calculated as

A = \frac{1}{2} bh

Here A = 50 , then

\frac{1}{2} × b × 2b = 50

b² = 50 ( take square root of both sides )

b = \sqrt{50} ≈ 7.1 ( to the nearest tenth )

Then base = 7.1 m and height = 2 × 7.1 = 14.2 m

6 0
2 years ago
Other questions:
  • The distance it takes a car to come to a complete stop after the brakes are applied is related to the speed that the car is trav
    5·2 answers
  • Maya has a smart phone data plan that costs $50 per month that includes 2 GB of data, but will charge an extra $15 per GB over t
    9·1 answer
  • ANSWER IF UR SURE 11 Points <br> ANSWER 6 &amp; 7
    13·1 answer
  • Which of the following scenario could be represented by 2/5?
    14·2 answers
  • (maybe) Useless question #3 (or 4)!
    5·2 answers
  • What is the area of the shaded region?<br> 18 mi<br> 19 mi<br> 7 mi<br> 8 mi
    13·1 answer
  • Tony love finding the area, such as pizza slices. His favorite pizza is a pepperoni with mushrooms that he can't stop talking ab
    10·1 answer
  • What is 18/5 written as a mixed number please helpppp I'll mark you brainliest ​
    7·2 answers
  • Who is smart enough to know this answer ?
    13·1 answer
  • What is the answer to this question
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!