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
adell [148]
3 years ago
13

Cone A has a radius of 2 inches and a height of 3 inches. In cone B, the height is the same, but the radius is doubled. Calculat

e the volume of both cones. Which statement is accurate? A) When the radius is doubled, the resulting volume is half that of the original cone. B) When the radius is doubled, the resulting volume is twice that of the original cone. Eliminate C) When the radius is doubled, the resulting volume is 4 times that of the original cone. D) When the radius is doubled, the resulting volume is 3 times that of the original cone.
Mathematics
2 answers:
wlad13 [49]3 years ago
5 0

Answer: Option C.

Step-by-step explanation:

Use the formula for calculate the volume of a cone:

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

Where r is the radius and h is the height.

Volume of the cone A:

V_A=\frac{1}{3}\pi (2in)^2(3in)=12.56in^3

Volume of the cone B:

If the height of the cone B and the height of the cone A are the same , but the radius of the cone B is doubled, then its radius is:

r_B=2r_A\\r_B=2*2in\\r_B=4in

Then:

V_B=\frac{1}{3}\pi (4in)^2(3in)=50.26in^3

Divide V_B by V_A:

\frac{V_B}{V_A}=\frac{50.26in^3}{12.56in^3}=4

Therefore: When the radius is doubled, the resulting volume is 4 times that of the original cone.

KatRina [158]3 years ago
5 0

Answer:

C) When the radius is doubled, the resulting volume is 4 times that of the original cone

Step-by-step explanation:

Volume of a cone is given by:

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

Cone A has radius = r = 2 inches and height = h = 3 inches

So, the volume of cone A will be:

Volume=\frac{1}{3} \pi (2)^{2} \times 3 = 4 \pi

Height of cone B is same as cone A, so height of cone B = h = 3 inches

Radius of cone B is double of cone A, so radius of cone B = r = 4 inches

So, the volume of cone B will be:

Volume=\frac{1}{3} \pi (4)^{2} \times 3 = 16 \pi

From here we can see that volume of cone B is 4 times the volume of cone A. Thus, doubling the radius increases the volume to 4 times.

So, option C is correct. When the radius is doubled, the resulting volume is 4 times that of the original cone

You might be interested in
4. If you invested $10,000 at 3.8% compounded hourly for five years, what would be your
Virty [35]

Step-by-step explanation:

The final balance is $12,088.87.

The total compound interest is $2,088.87.

4 0
2 years ago
Please help ( if you can then please help with <br> both questions )
tatuchka [14]

Answer:

For number 1, -1.125 and -9/8. For number 2, -46.

Step-by-step explanation:

6 0
2 years ago
Un vehiculo parte del reposo con una velocidad constante de 2 m/seg 2 y se mueve durante 5 segundos, su desplazamiento durante e
Andreas93 [3]

Answer:

The BLM presents awards to companies that minimize negative effects on the environment while mining natural resources. One such award is called the Hardrock Mineral Environmental Award. The BLM awards it to the mining company that has best fulfilled federal, state, or local requirements with little help from government agencies.

How does giving this award help the BLM more effectively manage land resources?

It prevents the companies from mining land resources such as gold and coal.

It informs companies about which minerals can be mined and which cannot be mined.

It encourages companies to follow rules set by government agencies.

It educates the companies about ways hard rock mining can destroy land resources.

7 0
2 years ago
What is the greatest common factor of 42a5b3, 35a3b4, and 42ab4?
Ludmilka [50]

Answer:

the answer is 77a8b7

Step-by-step explanation:


5 0
3 years ago
One side of a square flower bed is 22 feet long. How many plants are needed if they are to be spaced 22 inches apart around the
Juli2301 [7.4K]
(22 ft)*(12 in/ft)/(22 in) = 12 . . . . plants per side

12*4 = 48 plants are needed for the outside border.
4 0
3 years ago
Other questions:
  • A box of cereal is supposed to weigh 13.8 oz, but it's acceptable for the weight to vary as much as
    9·1 answer
  • What is the slope of the line that passes through (-6,2) and (-3,4)?<br> HELP!!!
    14·1 answer
  • 12x+7&lt;-11 AND 5x-8=&gt;40
    15·2 answers
  • What’s the value of 5 of 467.3985
    6·2 answers
  • Multi step equations plz help me with the problems in the picture
    12·2 answers
  • 4748.35 - 22.5x &gt; 4700
    6·1 answer
  • Numbers 4,5,6 !! Please help
    11·1 answer
  • Yesterday, 20 employees in an office were absent. If these absentees constitute
    12·1 answer
  • I’ll put the brainliest pleaseee!!!! I NEED HELP!!!
    11·2 answers
  • Explain when a relation is also a function
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!