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
Sindrei [870]
3 years ago
9

Assume Cylinder A and Cone B are the same height and the bases have the same radius. If A has a volume of 18π cm3, what is the v

olume of B? (round to nearest whole number) A) 19 cm3 B) 21 cm3 C) 24 cm3 D) 36 cm3
Mathematics
2 answers:
disa [49]3 years ago
8 0

Answer:

Option A  V_B=19\ cm^3

Step-by-step explanation:

The volume of a cone is:

V_B = \pi\frac{hr ^ 2}{3}

The volume of a cylinder is:

V_A = \pi(r ^ 2)h

Both figures have the same height h and the same radius r.

The volume of the cylinderV_A = 18\pi\ cm ^ 3

We want to find the volume of the cone.

Then, we find r and h:

V_A = 18\pi = \pi(r ^ 2)h

We simplify.

V_A = 18 = (r ^ 2)h

Then the product of (r ^ 2)h = 18.

We substitute this in the cone formula and get:

V_B =\frac{\pi}{3}(18)\\\\V_B = \frac{18}{3}\pi\\\\V_B=19\ cm^3

Sever21 [200]3 years ago
5 0

Answer:

A) 19 cm3

Step-by-step explanation:

Volume of a cone is calculated as:

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

Volume of a cylinder is calculated as:

\text{Volume of cylinder}=\pi r^{2} h

From the above two expressions we can see that if the height and radius of a cone and cylinder will be equal, the volume of cone will be 1/3 of the volume of the cylinder.

We are given the volume of Cylinder A to be 18π. So the volume of Cone B will be:

Volume of Cone B = 1/3 of Volume of Cylinder A

Volume of cone B = 1/3 x 18π =  6π = 19 cm³ (rounded to nearest whole number)

Thus, the volume of given cone B will be 19 cm³ rounded of to nearest whole number.

You might be interested in
You currently have a balance of $712.35 in your bank account. To avoid paying a monthly fee, you must maintain a minimum balance
vampirchik [111]

Answer:

hi i will help you with this

Step-by-step explanation:

6 0
3 years ago
Below are statements that can be used to prove that the triangles are similar. Which two statements are missing in steps 3 and 4
krek1111 [17]
Got this from a quizlet
the answers B : <B~=<Y
ABC~ZYX by the SAS similarity theorem.
8 0
3 years ago
Read 2 more answers
Plsss help, will reward brainliest!!! Thank you.<br><br><br><br> Look at picture^^^
Step2247 [10]

Answer:

-2b and -0.9b and b/12

Step-by-step explanation:

6 0
3 years ago
Need this very badly ​
ira [324]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
geri wants to put 6 stamps on some pages in her book and 9 stamps on other pages. explain how she could do this with 78 stamps
Readme [11.4K]
She could put 6 stamps on 4 pages, and 9 stamps on the other pages
6 * 4 = 24
78 - 24 = 54
54/9= 6

6 0
3 years ago
Other questions:
  • so far, 18 of the 25 students in your class have turned in field trip permission slips . what percent of your classmates have tu
    7·2 answers
  • jack has x pence, jill has 6 pence less then jack, write down in terms of x, the number of pence that jill has
    11·1 answer
  • What is the correct definition of acceleration?
    14·1 answer
  • Which expression is equivalent to ^3 square root 343 x^9 v^12 z^6?
    15·1 answer
  • Question 5
    5·1 answer
  • Combine as indicated by the signs. Write answer In descending powers of x.
    15·1 answer
  • 10k^2 - 10k + 2 = -k
    5·1 answer
  • Which equation has the solution x=6
    5·2 answers
  • HELP HELP HELP TODAY IS THE DEADLINE
    15·1 answer
  • Tue 2 NOV moe.alefed.com 71. Check My Understanding 2 Khadija and Muneera are sisters. Together they have 15 dolls. Muneera has
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!