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
gayaneshka [121]
2 years ago
6

A cone and a cylinder have the same radius and height. The volume of the cone is 100π (pi) cubic feet. What is the volume of the

cylinder?
Mathematics
1 answer:
murzikaleks [220]2 years ago
3 0

Answer:

The volume of the cylinder is 300\pi cubic feet.

Step-by-step explanation:

From Geometry we remember that volumes of a cone and a cylinder with the same radius (R), measured in feet, and height (h), measured in feet, are defined by the following equations:

Cone

V_{co} = \frac{1}{3}\pi\cdot R^{2}\cdot h (1)

Cylinder

V_{cy} = \pi\cdot R^{2}\cdot h (2)

The ratio of the volume of the cylinder to the volume of the cone is:

\frac{V_{cy}}{V_{co}} = 3 (3)

If we know that V_{co} = 100\pi\,ft^{3}, then the volume of the cylinder is:

V_{cy} = 3\cdot V_{co}

V_{cy} = 300\pi\,ft^{3}

The volume of the cylinder is 300\pi cubic feet.

You might be interested in
Can someone help me figure out the answer to:<br><br>3 5/8 + 4 2/3?<br><br>(please explain working?)
ivanzaharov [21]
You would first make the fractions improper (making the numerator bigger then the denominator) in order to do that times the denominator with the whole number and add the numerator.
Ex) 3*8 = 24 + 5 = 29/8
Then you would add both of the improper fractions
3 0
3 years ago
3x+4y+z=-2<br> 2y+3z=-8<br> z=-3
masya89 [10]

Answer:

z=-3 so 2y+3(-3)=-8, 2y-9=-8, add 9 to both sides 2y=1 divide both sides by 2, y=1/2, so 3x+4(1/2)+-3=-2, 3x+2-3=-2, 3x-1=-2, add 1 to both sides, 3x=-1, divide both sides by 3, x=-1/3

3 0
2 years ago
Read 2 more answers
Solve the following equation. Then place the correct mixed number in the box provided. 5x/7=22
natka813 [3]
We have that
<span> 5x/7=22
multiply by 7 both sides
5x=22*7-------> 5x=154
divide by 5 both sides
x=154/5
x=30.8--------> x=30 4/5

the answer is
x=30 4/5</span>
7 0
3 years ago
The the nearest hundredth, what is the area of a circle with a radius of 7 units
SpyIntel [72]

The answer is 153.94 units

8 0
2 years ago
How many eigths are in 1/4 and how many tenths are in1/2
Hitman42 [59]
There are 2/8 in 1/4 and 5/10 in 1/2 
6 0
3 years ago
Other questions:
  • 2 3/8 - 5/8 = ? help plzzz​
    9·1 answer
  • Write an equation given the following: m = -1, y-int = 8 *
    7·1 answer
  • What is 3 1/5 x 1 2/3 in simplest form?
    6·1 answer
  • The elevation of a sea animal is -20 what is elevations tat are greater than the elevation of the sea animal?
    15·2 answers
  • I’m not sure about this question anyone help
    6·1 answer
  • HELP? Please???!!! i NEED THE ANSWER.
    8·1 answer
  • Kelsey painted 1/4 of her bedroom in 3/7 of an hour at this rate how long would it take her to paint the entire room
    14·1 answer
  • a club has 5 members. from these members, the positions of president and vice-president have to be filled. how many different wa
    5·1 answer
  • What is the slope of the line in the graph?
    13·2 answers
  • Please help! 15 points!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!