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
VashaNatasha [74]
3 years ago
12

The diameter and height of this cylinder are equal to the side length, s, of the cube in which the cylinder is inscribed. What i

s the expression for the cylinders volume?
Mathematics
1 answer:
fiasKO [112]3 years ago
3 0

Answer:

V = (π/4)s³

Step-by-step explanation:

The volume of a cylinder can be found using the formula ...

V = πr²h

In this problem, we have r=s/2 and h=s. Filling in these values, the volume is ...

V = π(s/2)²·s = (π/4)s³

You might be interested in
PICTURE ABOVE <br> find perimeter in inches <br> PLEASE HELP !!!
Vsevolod [243]

Answer:

C. 52

Step-by-step explanation:

First, find the base of the triangle. You can do this by looking at the top of the figure. 14 inches is the width of the rectangle, and 20 inches is the width of the rectangle and the base of the triangle. You can find the base of the triangle by subtracting.

20-14=6

The base of the triangle is 6. The height of the triangle is equal to the height of the rectangle, 8. Now you need to find the hypotenuse of the triangle using the Pythagorean theorem:

a^2+b^2=c^2

c is the hypotenuse. Find c:

6^2+8^2=c^2\\36+64=100\\\\\sqrt{c^2}= \sqrt{100}\\c=10

The hypotenuse of the triangle is 10. Now that you know the hypotenuse, you can find the perimeter. Add all the sides:

10+20+8+14\\30+8+14\\38+14\\52

The perimeter is 52 inches.

5 0
4 years ago
Drag the expressions into the boxes to correctly complete the table.
mel-nik [20]

Answer:

  see below

Step-by-step explanation:

A polynomial is a sum of terms, each of which is the product of a constant and some constellation of variables to integer non-negative powers. Anything with a variable in a denominator, a non-linear function such as absolute value, or square root (a fractional power) will <em>not</em> be a polynomial.

The constants in a polynomial may be rational or irrational. The polynomials we generally study are ones with real coefficients, but there is no reason why the coefficients could not be complex numbers.

7 0
3 years ago
A swim teacher sells lesson packages. The best deal has the highest ratio of lessons to total cost. Swim Lesson Packages Number
lapo4ka [179]
The best package is 15 lessons for $80.
3 0
3 years ago
Pls help very confused<br>​
irinina [24]

9514 1404 393

Answer:

  • 8, 20, 32, 44, 56
  • arithmetic

Step-by-step explanation:

The words "common difference" tell you this is an arithmetic sequence. A geometric sequence will have a <em>common ratio</em> between terms.

__

The common difference is added to each term to get the next.

  first term: 8 -- given

  second term: first term + common difference = 8 + 12 = 20

  third term: 20 +12 = 32

  fourth term: 32 +12 = 44

  fifth term: 44 +12 = 56

The first 5 terms of this arithmetic sequence are 8, 20, 32, 44, 56.

6 0
3 years ago
Does the following represent direct variation? If yes, find the constant variation
svlad2 [7]

y/x =k

13/9 = 1.4444444

39/27=1.4444444

104/72=1.4444444

k =13/9  = 1 4/9

this is direct variation with a constant of 13/9 or 1  4/9

7 0
3 years ago
Other questions:
  • Question 3
    5·1 answer
  • The length of a rectangular deck is 4 times its width if the decks perimeter is 30 ft, what is the decks area
    10·1 answer
  • One factor of f(x) = 5x + 5x2 - 170x+ 280 is (x + 7). What are all the roots of the function? Use the Remainder Theorem.
    12·2 answers
  • Help me please <br><br><br><br> step by step
    6·2 answers
  • Solve 4x + 13 &gt;15<br> PLEASE HELP!!!
    5·2 answers
  • Two lines and a ray intersect at a
    10·1 answer
  • ??????????????????????
    6·1 answer
  • Which of the following is the slope of the line that passes through (-3,5) and (1, 15)?
    7·1 answer
  • Which digit is in the ten thousandths place in 4,6037?
    9·1 answer
  • Help help help math math
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!