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 × (8 – 3) = (4 × 8) – ( × 3)
Zina [86]
In this problem there might be a number that you need to add before the "( x 3)" then your answer will be 20 = 32 - 12 = 20
8 0
3 years ago
Read 2 more answers
Help with this, please!<br><br><br>It's about the volume of a cone
Lena [83]

Answer:

F

Step-by-step explanation:

7 0
2 years ago
Please help me because I need to turn this on tommorrow
Trava [24]
YAY I KNOW HOW TO DO THIS OKAY
so 90 degrees minus 49 degrees equals 41 degrees
then 41= (x+3) then you subtract 3
so x=38 
7 0
3 years ago
Read 2 more answers
The student council is selling cupcakes at the school play.
Eduardwww [97]

Answer: 37.5

Step-by-step explanation:

75 divided by 2

6 0
3 years ago
The number of subsets that can be created from the set {1, 2, 3} is:
kkurt [141]

Answer:3

Step-by-step explanation:

7 0
2 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
  • Pls help me I’m timed
    12·1 answer
  • 7) Represent 45% as a decimal .
    6·2 answers
  • Boris pays $3.84 for a bag of 16 tangerines.
    13·1 answer
  • Please answer me now I’m doing a test
    15·1 answer
  • How do you do 43.552 divided by 39.4?
    12·1 answer
  • Question if Timmy eats 97 Chocolate bars let A Represent the amount he had at the beginning, but his sister took 4 and gave him
    5·1 answer
  • I need help with this question ASAP
    10·1 answer
  • ❗️ILL GIVE BRAINLIEST❗️
    12·1 answer
  • HELP ASAP PLEASE THIS IS MATH
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!