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
VMariaS [17]
3 years ago
8

The volume of a cone is 3πx3 cubic units and its height is x units.

Mathematics
2 answers:
GaryK [48]3 years ago
8 0

Answer:

It is given that the volume of a cone = 3 \pi x^{3} cubic units

Volume of cone with radius 'r' and height 'h' = \frac{1}{3} \pi r^{2}h

Equating the given volumes, we get

3 \pi x^{3}=\frac{1}{3} \pi r^{2}h

r^{2} h =3 \times 3 x^{3}

r^{2} h =9 x^{3}

It is given that the height is 'x' units.

Therefore, r^{2} x =9 x^{3}

r^{2} =9 x^{2}

Therefore, r = 3x

So, the expression '3x' represents the radius of the cone's base in units.




Anvisha [2.4K]3 years ago
6 0

Answer: The volume given is 3Pi(x^3) and the radius is x. The formula for the volume of a cone is V= [1/3]Pi(r^2)*height => [1/3]Pi (r^2) x = 3Pi(x^3) => (r^2)x = 3*3(x^3) => (r^2)x = 9(x^3) => (r^2) = 9x^2 => r = sqrt[9x^2] = 3x.

So THE CORRECT Answer is: A) r = 3x

Step-by-step explanation: I just paid for this answer

You might be interested in
HELP PLEASE I HAVE A COUPLE MORE! Please help and fast would be great! BRAINLEST!!!
Harlamova29_29 [7]

Answer:

b. slope: -5; y-intercept: 7

Step-by-step explanation:

We are given the equation:

y + 5x = 7

To find the slope and y-intercept of the line, it would be helpful to get the equation into slope-intercept form. The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

Lets get the given equation into slope-intercept form.

y + 5x = 7

Subtract 5x from both sides.

y = -5x + 7

Now we have the equation in slope-intercept form. By looking at the equation, we can see that the slope is -5 and that the y-intercept is 7.

The correct answer choice would be b.

I hope you find my answer and explanation to be helpful. Happy studying.

3 0
3 years ago
Max has 5 red model cars one third as model cars are red how many model cars does max have
const2013 [10]
So  one third means you mutilply by 3  so 3x5 is 15 model cars
6 0
3 years ago
Read 2 more answers
A store is having a sale on used video game. Each game cost $12. Write an algebraic expression to represent the cost of buying v
alexandr1967 [171]
The algebraic expression you would write is 12v
8 0
3 years ago
HELP!! I need some help on this. I will do 10 points for every question of this test. I will also name the correct answer the br
iogann1982 [59]

Answer:

148 degrees

Step-by-step explanation:

32*2 = 64;

296/2 = 148 degrees.

3 0
3 years ago
Given the speeds of each runner below, determine who runs the fastest.
Lesechka [4]

Answer:

Debbie runs 9 feet per second: 9 ft/s

Jessica runs 1 mile  in 440 seconds: 414/50 ft/s = 207/25 ft/s = 8 7/25 ft/s

jesssica runs 131 feet in 10 seconds: since 1 mile = 5280 ft we have 1/470 mi/s = 5280/470 ft/s = 528/47 ft/s = 11 11/47 ft/s

ron runs 603 feet in 1 minute: 547 ft/min = 603/60 ft/s = 201/20 ft/s = 10 1/20 ft/s

Since:

11 11/47 > 10 1/20 > 9 > 8 7/25

Emily runs the fastest.

7 0
3 years ago
Other questions:
  • In a class of 147 students, 95 are taking math(m), 75 are taking science (s), 52 are taking both math and science. What is the p
    14·1 answer
  • please help me! A cylindrical propane tank is filled for a cost of $0.03 per in3. The tank has a radius of 24 in. and a height o
    6·1 answer
  • True or false the mean is less sensitive to extreme scores than the median and this makes it a better measure than the median fo
    9·1 answer
  • Which is a perfect square?
    9·2 answers
  • The bottom of Ignacio's desktop is 74.5\,\text{cm}74.5cm74, point, 5, start text, c, m, end text from the floor. Ignacio sits in
    10·1 answer
  • How to solve this problem
    10·1 answer
  • What is the average rate of change for this quadratic function for the interval
    15·2 answers
  • What is the slope intercept equation of the line below?
    8·1 answer
  • These are 230 calories in 4 ounce of a type of ice cream how many calories are in 6 ounces of that ice cream
    15·1 answer
  • EASY POINTS PLEASE HELP ASAP
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!