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
Anna71 [15]
3 years ago
14

Cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 5 inches. The height of the cone is 15 inche

s.
Use pi = 3.14.

What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.
Mathematics
1 answer:
ss7ja [257]3 years ago
4 0

Answer:

V_{cylinder}=251.2\ in^3,

V_{cone}=251.2\ in^3,

V_{cylinder}=V_{cone}.

Step-by-step explanation:

The volume of the cylinder is

V_{cylinder}=\pi r^2 h,

where r is the radius of a base circle and h is the cylinder's height.

If cylinder has diameter of 8 inches, then its radius is 4 inches. The height of the cylinder is 5 inches. Thus, the volume of the cylinder is

V_{cylinder}=3.14\cdot 4^2\cdot 5=251.2\ in^3.

The volume of the cone is

V_{cone}=\dfrac{1}{3}\pi r^2 h,

where r is the radius of a base circle and h is the cone's height.

If cone has diameter of 8 inches, then its radius is 4 inches. The height of the cone is 15 inches. Thus, the volume of the cone is

V_{cylinder}=\dfrac{1}{3}\cdot 3.14\cdot 4^2\cdot 15=251.2\ in^3.

As you can see the cylinder and the cone have the same volume.

You might be interested in
EB and EC = 15 cm . What is the area of abcde? _sq cm
Aliun [14]
75 sq cm that should be right
8 0
2 years ago
Which equation has the solutions X=1 +-SQRT 5?
Vesna [10]

Answer:

D is correct. x^2-2x-4=0

Step-by-step explanation:

We are given the root of the equation

x=1+\pm \sqrt{5}

If we are given solution of the equation then find equation using formula.

If a and b are the solution of equation then equation would be (x-a)(x-b)=0

Here, a=1+\sqrt{5} , b=1-\sqrt{5}

Equation form would be (x-1-\sqrt{5})(x-1+\sqrt{5})=0

Now we simplify the above equation to get correct option.

x^2-x+x\sqrt{5}-x+1-\sqrt{5}-x\sqrt{5}+\sqrt{5}-5=0

x^2-2x-4=0

So, D is correct.  x^2-2x-4=0

8 0
3 years ago
Read 2 more answers
Evaluate the expression 6/5x when x=20
Sindrei [870]

Answer:

24

Step-by-step explanation:

6 divided by 5 times 20 =24

6/5*20= 24

7 0
2 years ago
2 times 10 to the 4th subtracted to 7 to the 3ed
alekssr [168]

2 x 10 4th power - 7 3rd power

2 x 10,000 - 343

20,000 - 343

19,657

I think this is the answer to your problem.  Hope this helped!

-TTL

6 0
3 years ago
Can someone please help me with this problem
Serjik [45]

Answer:

1. 35

2. 145

3. 55

4. 90

5. 145

Step-by-step explanation:

1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145

∠1 = 35

2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal

3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55

4. ∠5 = 90. It is given

5. 145: ∠9 = ∠2 because they are vertically opposite

4 0
2 years ago
Other questions:
  • The binomial expansion of (x2 + y)2 is _____
    15·1 answer
  • An exclusion is a value for a variable in the numerator or denominator that will make either the numerator or denominator equal
    6·2 answers
  • 2. A pair of dice is rolled. What is the probability that the sum of the dice is either a 9 or a 3?
    10·1 answer
  • Which is the correct inequality to solve the problem below?
    9·1 answer
  • 7/8 subtracted by 2/7
    7·1 answer
  • Sophia uses 334 cups of flour for each cake she makes. She has a 10-pound bag of flour that costs $8.79 and contains 152 quarter
    12·1 answer
  • Please help i’ll give brainliest
    15·1 answer
  • Need help on worksheet
    6·2 answers
  • What is this problem?
    13·1 answer
  • Manny plans to save 1/14 of his salary each week. If his weekly salary is $378, find the amount he will save each week.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!