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
Please please help with these two !!! i’ll give brainliest pls
arsen [322]

Answer:

1.)B

2.)C

I apologize if this answer is wrong.

3 0
3 years ago
Please help asap 25 pts
Kazeer [188]
s=12\sqrt{4t}+10

for\ x=0\to y=12\sqrt{4\cdot0}+10=12\sqrt0+10=10\\for\ x=1\to y=12\sqrt{4\cdot1}+10=12\sqrt4+10=12\cdot2+10=34\\for\ x=4\to y=12\sqrt{4\cdot4}+10=12\sqrt{16}+10=12\cdot4+10=58\\for\ x=6\to y=12\sqrt{4\cdot6}+10=12\cdot2\sqrt6+10=24\sqrt6+10\approx69\\for\ x=10\to y=12\sqrt{4\cdot10}+10=12\cdot2\sqrt{10}+10=24\sqrt{10}+10\approx86\\for\ x=12\to y=12\sqrt{4\cdot12}+10=12\cdot4\sqrt3+10=48\sqrt3+10\approx93

\underline{x|\ 0|\ 1\ |\ 4|\ 6\ |10|12|}\\y|10|34|58|69|86|93|

\text{The graph in attachment}

\boxed{Answer:\ about\ \$93,000}

3 0
3 years ago
Michael pays $30 to enter a state fair, plus $4 for each ride. Which of the following equations represents his total cost? A. y=
omeli [17]
He spends 30 to enter and 4 per ride

y = 4x + 30....with x being the number of rides and y being the total cost
4 0
3 years ago
Read 2 more answers
What is the domain of the function in the graph?
Tpy6a [65]
The answer is A.
D= 6<=x<=11
8 0
3 years ago
A carton of eggs costs $2.90 and a package of bacon costs $3.10. How much
Dominik [7]

Answer:

$8.90

Step-by-step explanation:

((2)(2.90))+(3.10)= $8.90

3 0
3 years ago
Read 2 more answers
Other questions:
  • Help!!!! What’s an appropriate method to solve 9x^2+3x-2=0??
    8·1 answer
  • At an airport restaurant, 2 sodas and 4 hamburgers cost $12.00. An order of 4 sodas and 2 hamburgers costs $9.00. How much does
    11·2 answers
  • EASY I AM JUST DUMB!! WILL GIVE BRANLIEST!!! HELP ASAP!!!!
    15·2 answers
  • Write the following as an inequality.
    7·2 answers
  • What are the steps to solving -1.56+.73
    8·1 answer
  • If y= -4 when x=2, find y when x=-6.
    11·2 answers
  • Please help me solve this. I have been trying to solve this. If the 212 doesn't belong then change it
    15·1 answer
  • Helpppppppppppppppppppppppppppppppp!!!!!!!!!!!!!
    5·1 answer
  • How many things can happen if you spin the spinner three times and flip the coin three times?
    10·1 answer
  • 3 liters of milk divided by 20
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!