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
Masja [62]
3 years ago
13

A cone is placed inside a cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The

cone is tilted at an angle so its peak touches the edge of the cylinder’s base. What is the volume of the space remaining in the cylinder after the cone is placed inside it?
Mathematics
2 answers:
ryzh [129]3 years ago
7 0

Answer:

Step-by-step explanation:

Given that A cone is placed inside a cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same

Whatever position cone is placed, the space remaining will have volume as

volume of the cylinder - volume of the cone

Let radius of cylinder be r and height be h

Then volume of  cylinder  = \pi r^2 h

The cone has height as h and radius as r/2

So volume of cone = \frac{1}{3} \pi (\frac{r}{2} )^2h\\=(\pi r^2 h)\frac{1}{24}

the volume of the space remaining in the cylinder after the cone is placed inside it

=\pi r^2 h (1-\frac{1}{24} )\\=\frac{23 \pi r^2 h}{24}

Yuliya22 [10]3 years ago
5 0
Here is the answer: 3/4 (pi r^2 h)
You might be interested in
What is the decimal 4.588 rounded to the nearest tenth
timofeeve [1]
If you rounded it it would be 4.6
5 0
3 years ago
Read 2 more answers
Evaluate the expression:
pickupchik [31]
9 is the answer

Step by step
....
5 0
3 years ago
–12.3 – 14.2 <br><br> A. 0.9 <br> B. 26.5 <br> C. –0.9 <br> D. –26.5
IrinaK [193]

Answer:

-26.5

Step-by-step explanation:

-12.3 - 14.2 =

in addition or subtraction, if the signs are alike, u add them and keep the same sign

so, -12.3 - 14.2 = - 26.5

but dont get this rule confused with multiplying or dividing...because those have different rules

3 0
3 years ago
(04.03) The graph shows the amount of money paid when purchasing bags of candy at the 2008
alexandr1967 [171]

Answer: yw

y=4.03x+2008

6 0
3 years ago
How many foci does the graph of a hyperbola have
Darina [25.2K]
They Have 2: <span>Like an ellipse, an hyperbola has two foci and two vertices; unlike an ellipse, the foci in an hyperbola are further from the hyperbola's center than are its vertices: The hyperbola is centered on a point (h, k), which is the "center" of the hyperbola. hope this helps c:</span>
4 0
3 years ago
Read 2 more answers
Other questions:
  • Kayla was at the surface of a swimming pool and recorded the following two measurements, in feet, on a number line: −9, which re
    15·2 answers
  • Which graph best represents the function f(x) = 1(1.5)x?
    5·1 answer
  • A) 12 ft<br> b) 21 ft<br> c) 63 ft<br> d) 81 ft
    14·1 answer
  • Need help smart people
    12·1 answer
  • What is this website
    6·1 answer
  • In trying to calculate the product of 5 and 12
    7·2 answers
  • Using the right triangle below. What is the name for side AC ?
    9·1 answer
  • What is the hcf of 12 45 and 75​
    9·1 answer
  • Tetsuo has decided to purchase a new car. He decides to put 10% down and finance the remaining balance. The bank offers Tetsuo a
    14·1 answer
  • What is the degree of the polynomial :
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!