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]
3 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]3 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
PLEASE HELP ME FOR EXTRA POINTS AND BRAINLIEST ANWSER
aleksklad [387]
Alright so the sin of anything is <em>opposite/hypotenuse.

</em>we can keep this in mind and use the information we have...
<em>
</em>Opposite of <NOM = 3
<em>
</em>To find the hypotenuse we will use the pythagorean theorem...
<em>
</em><em>a</em>²+<em>b</em>²=<em>c</em>²
3²+<em>4</em>²=<em /><em>c</em>²
<em>9+16=c</em>²
<em>25=c</em>²
√<em>25=</em>√<em>c</em>²
<em>c=5
</em>
Knowing that the hypotenuse is 5, we can use the sin formula and find that...

sin(<NOM)= 3/5
I hope this helps!
8 0
3 years ago
Matt bought a new car at a cost of $25,000. The car depreciates approximately 15% of its value each year. What will the car be w
White raven [17]
The car will be worth $4,921.86
5 0
3 years ago
What is 2 3/4 • 6 2/3
STatiana [176]
The answer is 18 1/3

6 0
3 years ago
Is it scalene isosceles or equilateral then write acute obtuse or right thx
almond37 [142]
It's scalene because it has different sides and obtuse because root 40²+30²=50
110>50
4 0
3 years ago
What is the distance between point A and point B?
DIA [1.3K]
The answer is possibly 10
4 0
3 years ago
Read 2 more answers
Other questions:
  • 22) Which coordinate pair fits the set of coordinates {(0, 4), (-2, 1), (-4, -2)} defined by a linear function? A) (5, 12) B) (6
    11·2 answers
  • Suppose the u.s. president wants to form a special panel to study the national energy crisis and make recommendations. he will p
    14·1 answer
  • (2x + y) 6 power how to solve binomial theorem
    15·2 answers
  • 12. I don’t know how to do it
    12·1 answer
  • 9) Let X-2, x, x+3 be the first 3 terms of a geometric sequence. FInd the value of x.. PLEASE HELP
    7·1 answer
  • the diagonal of a rhombus is 24cm if one of the diagonals is 6cm. Find the length of the other diagonal​
    14·1 answer
  • Sean has 9 liters of juice. He pours equal amounts of the juice into 4 pitchers. There is 0.5 of a liter of juice left. How many
    9·1 answer
  • Krutika was thinking of a number. Krutika doubles it and gets an answer of 26.5. What was the original number?
    9·2 answers
  • Please guys i need my grades to be up in 3 weeks :( i need all the help i can get
    5·1 answer
  • The plans were made too hastily, without enough
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!