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
aniked [119]
3 years ago
12

The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V = one-thirdp

i r2h. A cone-shaped paper cup has a volume of 142 cubic centimeters and a height of 8.5 centimeters. What is the radius, to the nearest centimeter, of the paper cup?

Mathematics
1 answer:
djyliett [7]3 years ago
7 0
V= 1/3π*r^2*h
⇒ 142 cm^(2)= 1/3π*r^(2)*(8.5 cm)
⇒ ...
⇒ r= 3.994.

Rounded to the nearest centimeter, the final answer is 4 cm.

Hope this helps~
You might be interested in
In what career would you most likely apply concepts from geometry?
Nitella [24]

Answer:

- Architect

- Cartographer and Photogrammetrist

- Drafter

- Mechanical Engineer

- Surveyor

- Urban and Regional Planner

Step-by-step explanation:

Architects utilize geometric principles while designing layouts for their ongoing projects, which can include buildings, electrical systems, and plumbing architecture.

Cartographers utilize geographic data to create or update maps for use in education, as well as environmental presentations.

Using the same geometric knowledge and applications as architects and engineers, drafters create design plans with the use of computer-aided design (CAD) software.

Mechanical engineers, some of the most diversified engineers, use a multitude of geometric concepts to design mechanical devices, or update existing structures.

Surveyors use geometry to take exact measurements of boundaries for different types of property.

Urban and regional planners rely on the same geometry practices used by surveyors when examining the positives and negatives of introducing new and updated plans for a community.

* Not my own words. This is the website if you need more info;

https://study.com/articles/jobs_that_involve_geometry.html

8 0
3 years ago
Read 2 more answers
Assume that X is normally distributed with a mean of 20 and a standard deviation of 2. Determine the following. (a) P(X 24) (b)
Tems11 [23]

Answer:

a) P( X < 24 ) =  0.9772

b) P ( X > 18 ) =0.8413

c) P ( 14 < X < 26) = 0.9973

d)  P ( 14 < X < 26)  = 0.9973

e) P ( 16 < X < 20)  = 0.4772

f) P ( 20 < X < 26)  =  0.4987

Step-by-step explanation:

Given:

- Mean of the distribution u = 20

- standard deviation sigma = 2

Find:

a. P ( X  < 24 )

b. P ( X  > 18 )

c. P ( 18 < X  < 22 )

d. P ( 14 < X  < 26 )

e. P ( 16 < X  < 20 )

f. P ( 20 < X  < 26 )

Solution:

- We will declare a random variable X that follows a normal distribution

                                   X ~ N ( 20 , 2 )

- After defining our variable X follows a normal distribution. We can compute the probabilities as follows:

a) P ( X < 24 ) ?

- Compute the Z-score value as follows:

                                   Z = (24 - 20) / 2 = 2

- Now use the Z-score tables and look for z = 2:

                                   P( X < 24 ) = P ( Z < 2) = 0.9772

b) P ( X > 18 ) ?

- Compute the Z-score values as follows:

                                   Z = (18 - 20) / 2 = -1

- Now use the Z-score tables and look for Z = -1:

                    P ( X > 18 ) = P ( Z > -1) = 0.8413

c) P ( 18 < X < 22) ?

- Compute the Z-score values as follows:

                                   Z = (18 - 20) / 2 = -1

                                   Z = (22 - 20) / 2 = 1

- Now use the Z-score tables and look for z = -1 and z = 1:

                   P ( 18 < X < 22)  = P ( -1 < Z < 1) = 0.6827

d) P ( 14 < X < 26) ?

- Compute the Z-score values as follows:

                                   Z = (14 - 20) / 2 = -3

                                   Z = (26 - 20) / 2 = 3

- Now use the Z-score tables and look for z = -3 and z = 3:

                   P ( 14 < X < 26)  = P ( -3 < Z < 3) = 0.9973

e) P ( 16 < X < 20) ?

- Compute the Z-score values as follows:

                                   Z = (16 - 20) / 2 = -2

                                   Z = (20 - 20) / 2 = 0

- Now use the Z-score tables and look for z = -2 and z = 0:

                   P ( 16 < X < 20)  = P ( -2 < Z < 0) = 0.4772

f) P ( 20 < X < 26) ?

- Compute the Z-score values as follows:

                                   Z = (26 - 20) / 2 = 3

                                   Z = (20 - 20) / 2 = 0

- Now use the Z-score tables and look for z = 0 and z = 3:

                   P ( 20 < X < 26)  = P ( 0 < Z < 3) = 0.4987

8 0
3 years ago
Answer asap 30 points!!!!!!!!!!!!!!!!!!!!!!!!!What is the lateral surface area of the cone?
Ludmilka [50]

Answer:

it would be a

3 0
2 years ago
How far off the ground is the top of the ladder? URGENT PLS HELP
Naddik [55]
The answer is 10.24695. Which is 10.2 for you!
4 0
2 years ago
What number would you add to both sides of x2 + 7x = 4 to complete the square? 22 72 StartFraction 7 squared Over 2 EndFraction
ki77a [65]

Answer:

D on e2020

Step-by-step explanation:

got it right

8 0
3 years ago
Read 2 more answers
Other questions:
  • Please help! 11 pts.
    10·2 answers
  • A store has a $74.99 item on sale for 30% off. What is the sale price on this item?
    7·1 answer
  • Triangle QST is isosceles, and bisects T.
    9·2 answers
  • Find the volume of the right cylinder. Round your answer to two decimal places.
    7·1 answer
  • Simplify. rewrite the expression in the form b^nb ​n ​​ b, start superscript, n, end superscript. b^{-6}\cdot b^{11}
    5·2 answers
  • 1.682 inches rounded to the nearest whole number is 1 inches?
    7·2 answers
  • Which value of x makes the equation 2 + 8 = 15<br> true?
    14·2 answers
  • 8. You have 51 coins made up of dimes
    15·1 answer
  • Which of the equations matches the line shown in the diagram?
    5·1 answer
  • Tiffany has a 30% chance of winning a game. She uses random numbers to simulate a series of 7 games. In her simulation, the numb
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!