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
nirvana33 [79]
3 years ago
5

Acorns height is six times greater than the measurement of the cones radius the volume of a cone is 401.92 inches^3 what are the

cones dimensions? Use 3.14 for pi
Mathematics
2 answers:
Veronika [31]3 years ago
8 0

Answer:

radius = 4 inches

height = 24 inches

Step-by-step explanation:

The formula of the volume of a cone is:

V = (1/3) * pi * r^2 * h

where V is the volume, r is the radius of the base and h is the height.

We know that the height is 6 times greater than the base radius, so:

h = 6*r

If the volume is 401.92 in3, we can calculate the radius and the height of the cone:

401.92 = (1/3) * 3.14 * r^2 * 6*r

(1/3) * 3.14 * 6 * r^3 = 401.92

r^3 = 401.92 / ((1/3) * 3.14 * 6) = 64

r = 4 inches

h = 6*r = 6*4 = 24 inches.

Serga [27]3 years ago
8 0

Answer: The cone’s radius is 4 inches and it’s height is 24 inches

Step-by-step explanation: If the height is six times the radius, and the radius is r, then the height shall be 6 times r which equals 6r.

The volume is also given as 401.92. If the volume of a cone is given as

Volume = Pi x r^2 x (h/3)

401.92 = 3.14 x r^2 x (6r/3)

401.92 = 3.14 x r^2 x 2r

By cross multiplication we now have

401.92/3.14 = 2r^3

128 = 2r^3

128/2 = r^3

64 = r^3

Add the cube root sign to both sides of the equation

4 = r

Since the height is given as six times greater than the radius,

Height = 6r

Height = 6 x 4

Height = 24

Therefore the dimensions are,

Radius = 4 inches

Height = 24 inches

You might be interested in
The octal system uses base 8. the only available digits would be 0, 1, 2, 3, 4, 5, 6, and 7. if the value 2468 is converted to d
marysya [2.9K]
Your description and expansion suggest you want to evaluate
.. 246₈ = 2*8² +4*8¹ +6*8⁰
.. = 2*64 +4*8 +6
.. = 166
5 0
3 years ago
A biologist studied how cells grow by adding liquid protein to cell samples. She reported in her study that she divided 3/5 of a
r-ruslan [8.4K]

Answer: \dfrac{1}{5}\text{ of an ounce.}

Step-by-step explanation:

Given : A biologist studied how cells grow by adding liquid protein to cell samples.

She divided \dfrac{3}{5} of an ounce of liquid protein evenly among 3 cell samples.

Here , total quantity of liquid protein = \dfrac{3}{5} of an ounce

Total cell samples = 3

Now , Quantity of liquid protein given by her to each cell = (total quantity of liquid protein ) ÷ (3)

= \dfrac{3}{5}\times\dfrac{1}{3}=\dfrac{1}{5}\text{ of an ounce} .

Hence, Quantity of liquid protein given by her to each cell =  \dfrac{1}{5}\text{ of an ounce.}

4 0
3 years ago
Mr Abraham is able to divide the learners in his mathematics class into equal groups of 2, 5 or 6 without leaving any learners o
IRISSAK [1]

Answer:

30

Step-by-step explanation:

Find the lowest number divisible by both 6, 5, and 2.

To start, let's list off the numbers divisible by six, and see if we can check any of them off for 5. Since both 2 and 6 are even numbers, we know that if a number is divisible by 6, it's divisible by 2.

6 12 18 24 30 36 42 48 54 60

All of these numbers are divisible by two. Let's find the lowest one that is divisible by 5. We know this by either the umber ending in 5 or 0.

30 is the lowest number that is divisible by 2, 5, or 6.

3 0
3 years ago
Cecilia simplified an expression. Her work is shown below.
Citrus2011 [14]

Answer: second step.

Step-by-step explanation:

you then have to distribute the answer not subtract 9 1/4 from 1.5

you have to do the parenthesis next

4.5/0.5=45/5=9

then

1.5*9= 13.5

then

9.25-13.5 which I think you are capable of solving

4 0
3 years ago
Read 2 more answers
What is the interquartile range of the box and whisker plot
Irina18 [472]

Answer:

(IQR) interquartile range = 5

Step-by-step explanation:

Lower quartile: 48

Upper quartile: 53

Median: 52

Lowest value: 46

Highest value: 55

(IQR) interquartile range: Upper quartile - Lower quartile = final answer

(IQR) interquartile range: 53 - 48 = 5

5 0
3 years ago
Other questions:
  • Quadrilateral PERK has vertices at P(4,4), E(12,4), R(10,−2), and K(2,−2). Find the vertices of the quadrilateral after a dilati
    8·1 answer
  • PLEASE MATH HELP
    8·1 answer
  • How do i find the scale factor on a graph?
    9·1 answer
  • Answer and working out please!
    6·1 answer
  • I will give brainliest
    8·1 answer
  • Answer this question
    5·1 answer
  • Find the length of the hypotenuse. Need help I’ll give you best brainliest!!
    9·1 answer
  • Okay hear this someone came into my shop and stole $100 without my knowledge they came back to the store and spent $70 in items
    7·2 answers
  • Help me in algebra please I need it done 100% correct only :(
    5·1 answer
  • What else would need to be congruent to show that ABC DEF by SAS?A.C FB. C. D.A D
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!