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
tester [92]
3 years ago
15

A cylinder has volume 120 cm3.What is the volume of a cone with the same radius and height? ? 40 cm 60 cm O 240 cm 360 cm 3​

Mathematics
1 answer:
stepladder [879]3 years ago
4 0

The volume of a cone with the same radius and height as the cylinder is 40cm³.

<h3>What is the volume of the cone?</h3>

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder = nr^2h

  • n = 22/7
  • r = radius

Volume of a cone = 1/3(nr^2h)

The volume of a cone, is 1/3 that of a cylinder.

Volume of the cone = 1/3 x 120 = 40

To learn more about the volume of a cone, please check: brainly.com/question/13705125

You might be interested in
Kyle built a tree house 4 ft. by 6 ft. What was the area of the tree house?
oksano4ka [1.4K]

Answer:

24 SQ FT

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A particle moving in a planar force field has a position vector x that satisfies x'=Ax. The 2×2 matrix A has eigenvalues 4 and 2
andrey2020 [161]

Answer:

The required position of the particle at time t is: x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}

Step-by-step explanation:

Consider the provided matrix.

v_1=\begin{bmatrix}-3\\1 \end{bmatrix}

v_2=\begin{bmatrix}-1\\1 \end{bmatrix}

\lambda_1=4, \lambda_2=2

The general solution of the equation x'=Ax

x(t)=c_1v_1e^{\lambda_1t}+c_2v_2e^{\lambda_2t}

Substitute the respective values we get:

x(t)=c_1\begin{bmatrix}-3\\1 \end{bmatrix}e^{4t}+c_2\begin{bmatrix}-1\\1 \end{bmatrix}e^{2t}

x(t)=\begin{bmatrix}-3c_1e^{4t}-c_2e^{2t}\\c_1e^{4t}+c_2e^{2t} \end{bmatrix}

Substitute initial condition x(0)=\begin{bmatrix}-6\\1 \end{bmatrix}

\begin{bmatrix}-3c_1-c_2\\c_1+c_2 \end{bmatrix}=\begin{bmatrix}-6\\1 \end{bmatrix}

Reduce matrix to reduced row echelon form.

\begin{bmatrix} 1& 0 & \frac{5}{2}\\ 0& 1 & \frac{-3}{2}\end{bmatrix}

Therefore, c_1=2.5,c_2=1.5

Thus, the general solution of the equation x'=Ax

x(t)=2.5\begin{bmatrix}-3\\1\end{bmatrix}e^{4t}-1.5\begin{bmatrix}-1\\1 \end{bmatrix}e^{2t}

x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}

The required position of the particle at time t is: x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}

6 0
3 years ago
The perimeter of a square is 192 centimeters. If the square is dilated by a scale factor of 0.25, what is the length of each sid
Ulleksa [173]

Answer:

60cm

Step-by-step explanation:

perimeter of a square=4L

192cm=4L

L=48cm

Dilated by ratio 0.25

1 : 0.25 = 48 : 12

New length = 48+12 = 60cm.

6 0
2 years ago
There are 1800 gym members in total 3/4 are aged 25-59 1/5 are over 60 and the rest are under 25 how many members are under 25
skad [1K]
90 members are under 25 years old
7 0
4 years ago
PLEASE HELP ILL MARK BRAINLIEST AND GIVE 5 STATS AND LIKE IT PLEASE
Dahasolnce [82]

Answer:

36÷3÷2÷3=2

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • The point (-3,4) is reflected across the x-axis. What is the coordinates of its new location?
    13·1 answer
  • Which equation and ordered pair represent the correct vertex form and vertex for j(x) = x2 − 12x + 7?
    13·1 answer
  • What is the right answer to this?
    13·1 answer
  • If g(x) = 3х + 1, evaluate g(-2).
    6·2 answers
  • Complete the sentence to make it a true statement. 60 is 1/100 of
    6·1 answer
  • Points P(6, –8) and Q(–18, 2) are plotted on the coordinate plane.
    6·1 answer
  • Can someone help please
    11·2 answers
  • Last question pls answer
    10·1 answer
  • Angle A and angle B are complementary angles. If m angle A = (4x – 28)°
    12·1 answer
  • Asap please! The triangles shown below must be congruent. 47 62 71
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!