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
Find the value of x and y.
alex41 [277]
2x+7 = 3x - 7
3x - 2x = 14
x = 14

2x + 7 + 12y + 1 = 180
2(14) + 12y + 8 = 180
28 + 12y + 8 = 180
12y + 36 = 180
12y = 144
 y = 12

answer
C. x = 14 and y = 12 (third choice)
4 0
3 years ago
The sum or two numbers is -4 and their difference is 12. What are the two numbers?
natima [27]

Answer:

above is the answer to the question

7 0
2 years ago
Matt has $550 in his savings account. He is eager to know how much interest the bank will pay him for the whole year. He knows t
kupik [55]
From Matt's formula:
I=P×r×t
P=principle amount (amount invested)
r=rate
t=time
From the information given:
P=$550
r=0.03
t=1
therefore
I=550*0.03*1
I=$16.5
5 0
3 years ago
Please help i'm desperate!!
Leya [2.2K]
I’m not sure maybe if there was an imagine I’d be able to answer this question.
6 0
3 years ago
Brainiest?!?! Please help me I'm running out of time??​
love history [14]
Because if x is greater than y, then x-y wouldn’t be below 0 like it’s shown, so x must be less than y.

And if x is less than y, any negative y would mean x is negative as well since it’s always less than y. And as shown, x+y is positive so it’s impossible for y to be negative.
4 0
3 years ago
Other questions:
  • Rewrite the fraction as a decimal 69/4​
    15·1 answer
  • Find the slope of the line that contains<br> the points (6, 8) and (2, 1).
    15·2 answers
  • -qx + p = r. Slove for X.
    12·1 answer
  • Find the third side in simplest radical form:<br> 28<br> 45
    5·1 answer
  • Solve the system of equations. <br> x+2y=0 <br> 6y= - 3x
    15·1 answer
  • 7. Why is it not possible to make a right
    5·1 answer
  • Find the measure of Angle A
    5·1 answer
  • HELP THIS IS DUE AT 1:30
    12·1 answer
  • A storage rental company charges $1 for
    5·1 answer
  • Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!