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
yan [13]
3 years ago
14

The equation above can be used to calculate the volume V, of a cone with a height h and radius r. If the volume of a cone is 243

?ft3, and the height is equal to the radius of the base, what is the height of the cone in feet?
Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0

Answer:

The height of the cone is h=9\ ft

Step-by-step explanation:

we know that

The volume of a cone is equal to

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

In this problem we have

V=243\pi\ ft^{3}

r=h\ ft

substitute

243\pi=\frac{1}{3}\pi (h^{2})h

simplify

729=(h^{3})

h=\sqrt[3]{729}\ ft

h=9\ ft

You might be interested in
A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.
nignag [31]

Answer:

A. 10cm

B. 8 times

Step-by-step explanation:

The question is on volume of a conical container

Volume of a cone= \pi r^{2} h/3

where r is the radius of base and h is the height of the cone

Given diameter= 12 cm, thus radius r=12/2 =6 cm

v=\pi r^2h/3 \\120\pi =\pi *6*6*h/3\\120\pi =12\pi h\\10=h

h=10 cm

B.

If height and diameter were doubled

New height = 2×10 =20 cm

New diameter = 2×12 = 24, r=12 cm

volume = v=\pi r^2h/3\\v=\pi *12*12*20/3\\v=960\pi

To find the number of times we divide new volume with the old volume

N= 960\pi /120\pi \\\\N= 8

8 0
3 years ago
Read 2 more answers
Determine whether quantities vary directly or inversely and find the constant of variation. A teacher grades 25 students essays
Lesechka [4]
IDK the constant and quantities...
First, find how many hours it takes for him to grade 1 essay, 0.16. Then multiply that by 35 to get 5.6.
I hope this is right -_-'
8 0
2 years ago
a pair of socks costs $5.00. a package of 3 pairs costs $12.00. how much would you save if you buy 2 packages instead of 6 indiv
svp [43]
you will save 6 dollars If you buy 2 packages, instead if 6 individual pairs.
7 0
3 years ago
7) Diego travels from Odessa to el Paso approximately 300 miles apart
bulgar [2K]

Answer:

≈3hrs 45mins

Step-by-step explanation:

d=300 miles

s=80mph

Formula: distance/speed=time

Using the formula:

300/80=3.75 hours

0.75 hours=45mins

(To work that out ^) 0.75=x/60

∴ 60*0.75=45mins

Solution: 3hrs 45mins

3 0
3 years ago
WILL CHOOSE BRAINLIEST
fredd [130]
The volume of the first cube is (5h^2)^3, while the volume of the second cube is (3k)^3, so their total volume is (5h^2)^3 + (3k)^3. We can use the special formula for factoring a sum of two cubes:
x^3 + y^3 = (x + y)(x^2 - xy + y^2)
(5h^2)^3 + (3k)^3 = (5h^2 + 3k)((5h^2)^2 - (5h^2)(3k) + (3k)^2)
= (5h^2 + 3k)(25h^4 - 15(h^2)(k) + 9k^2)
This is the second of the given choices.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following expressions represents the distance between 3/4 and 2?
    8·2 answers
  • when inches are converted to centimeters, is the number of centimeters greater than the number of inches?
    10·1 answer
  • Need help on #30 and 31 thanks!!
    14·1 answer
  • The graph shows the system of which two equations?<br> Watch the intervals.
    14·2 answers
  • Please help!! ill give brainlist!
    6·1 answer
  • A ,B and C average is 45 ,b and C average is 40 then find b
    6·1 answer
  • The height of a box is 30 inches.<br><br> What is the height of the box in feet?
    9·2 answers
  • Translate the given phase into an algebraic expression and simplify if possible: the quotient of -20 and -40.
    15·2 answers
  • Heyyy could someone please help me out?? Would appreciate it. Thanks in advance!!^^
    7·1 answer
  • What is the greatest common factor of 36 and 42?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!