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
Gennadij [26K]
3 years ago
7

Cylinder A has a volume of 360 cm3. Cylinder B has a base and height identical to that of cylinder B, but leans to the right in

such a way that its slant length is greater by 4 cm. What is the volume of cylinder B?
Mathematics
2 answers:
gavmur [86]3 years ago
6 0

Answer:

Cylinder B has a volume of 360 cm³

Step-by-step explanation:

The volume of a regular cylinder is: V = (base)(height)

The base of a cylinder is a circle with an area πr²

So the volume of a cylinder is: V= πr² (base)

In this case, since we know the two cylinders have the same base and height. Then one can use Cavalieri's Principle which <em>states that  two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes of the two solids are equal </em>(Kern and Bland 1948, p. 26).

Therefore, it does not matter that the slant lenght differs because the altitude and base remain unchanged.

qaws [65]3 years ago
4 0
Check your book on Cavalieri's Principle.

Cavalieri's Principle:

two solids that have the same altitude and identical cross-sections all the way up, though slanted or not, have the same volume.
You might be interested in
The length of a rectangle is (x+5) and the width is (x+2). The area of the rectangle is 70 square feet. What is the length of th
vaieri [72.5K]

Answer:

The length of the rectangle is 30 feet.

Step-by-step explanation:

Because the equation for area is length times width, you would have to set the two equations to seventy and multiply them.

<em>     (x+5) (x+2) = 70</em>

<em>     </em><em>2x + 10 = 70</em>

Then, you would have to subtract ten from both sides, cancelling it from the left side.

<em>     2x = 60</em>

<em />

Then do the opposite and divide sixty by two, therefore getting a length of thirty feet.

7 0
3 years ago
Find the perimeter and area of this circle plz. due today.
Alik [6]
If the diameter is 30 ft then the area of the circle is 706.5 you can approximate it if you want and you will have 707.
5 0
3 years ago
Read 2 more answers
A volcanic plug shaped like a cone has a diameter of 24 km and a height of 3 km.
oee [108]
The answer is 452.39 because volume equals the height times radius times pie squard
6 0
3 years ago
What is the slope of the line? ​
Alexxx [7]

Answer:

Should be, (-3,5) (if rise over run aka y,x)

Step-by-step explanation:

When attempting to find a slope like this, you need to locate pretty points. Pretty points are any time the line meets an exact corner on the box. If you look at -3,1, you can see the line makes a pretty point there. Then, try to find the next one, which is at 2,-3. Once you found these pretty points, try to connect them by drawing a line towards each other THAT IS STRAIGHT until those intersect. Where they intersect is where the slope of the line is. In this case, when I drew the line, they met at <em>down three</em>, <em>over (right) 5.</em>

4 0
3 years ago
He slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -x + 6. What is the point-stopetom
Shkiper50 [21]

y-3=2(x+)Step-by-step explanation:

5 0
3 years ago
Other questions:
  • The table shows the relationship in expense between packages of soup and cans of soup. What is the missing value in the table?​
    15·1 answer
  • Explain why a 3 dimensional figure with a curved surface is not a polyhedron
    8·1 answer
  • How far up a wall will an 11-meter ladder reach, if the foot of the ladder is 4 meters away from the base of the wall?
    11·1 answer
  • –12x + 9 = –15x solve for x
    10·2 answers
  • In the figure to the right, if ac=14 and bc=11 what is radius?
    6·1 answer
  • Consider the function f(x)= 2/5x-4
    7·1 answer
  • Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
    13·1 answer
  • What equation is part of the same fact family as <br> 8 x 5 = 40
    5·1 answer
  • A particular virus becomes inactive at any temperature below 10 F what would be the inequality
    13·1 answer
  • Lines a and b are parallel. The slope of line b is 1/3. What is the slope of line a?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!