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
andreev551 [17]
2 years ago
15

A cylinder has a volume of 105 cubic centimeter what is the volume of a cone with the same base and height?

Mathematics
1 answer:
pychu [463]2 years ago
5 0

Answer:

<h2>35 cm³</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

V_1=\pi r^2H

r - radius

H - height

The formula of a volume of a cone:

V_2=\dfrac{1}{3}\pi r^2H

If the cylinder and the cone have the same base (radius) and the same height, then the volume of the cone is three times smaller than the volume of the cylinder.

V_2=\dfrac{1}{3}\underbrace{\pi r^2H}_{V_1}

Therefore:

V_2=\dfrac{1}{3}V_1\toV_2=\dfrac{1}{3}\cdot105\ cm^3=35\ cm^3

You might be interested in
A single ball is drawn from an urn containing 6 balls numbered 1 through 6. Find the probability that the ball choosen is as fol
Stolb23 [73]
There are 3 even number: 2.4. and 6, so the probabilty of getting an even-numbered ball is 3/6, which is 0.5.
the same is getting an odd number, 0.5
6 0
3 years ago
What is 823,618 divisible by?
Nutka1998 [239]
It's definitely divisible by 2 because the last number is even.
6 0
3 years ago
Paul's family drove 377 mi to the beach averaging 58 ​ mi/h ​ on the way there. On the return trip home, they averaged 65 ​ mi/h
Stels [109]
They went there in 6.5 hours and came back in 5.8 hours
3 0
2 years ago
X^2+x-5=0 completing the square
Bingel [31]
I hope this helps you





x^2+x-5=0


disctirminant = 1^2-4.1. (-5)


disctirminant = 1+20=21



x1= -1+ square root of 21/2


x2= -1- square root of 21/2
3 0
3 years ago
Answer answer answer
Paul [167]
Okay!
7/1x3/1 is 21 so 21 / .5 is 42

I think the answer is 42
4 0
3 years ago
Read 2 more answers
Other questions:
  • Asking for a friend !!
    5·1 answer
  • The length of a rectangle is 3cm more than twice the width. The perimeter of the rectangle is 42 cm. Find the dimensions of the
    13·1 answer
  •  The distance between city A and B is 600 km. The first train left A and headed towards B at the speed of 60 km/hour. The secon
    14·1 answer
  • Jerry was walking Down the block. He walked 12 miles on Friday and 23 miles on Saturday. What’s an estimate of this awnser
    7·1 answer
  • McKenzie bought 1.2 pounds of coffee for $11.82. What was the cost per pound?
    6·2 answers
  • 6(5x - 3) + 2 = 14 what's the answer?
    10·1 answer
  • Find the amplitude of y = -4 sin x.
    15·1 answer
  • What did the inventor of the 10-ton truck so often say?
    8·1 answer
  • 51. q(x) = 2 * (x - 1) ^ 2 + 5 , what is the value of q(- 3) ?
    8·1 answer
  • PLEASE HELPP<br>given f(x)=x^3+x^2-x what is f(x)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!