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
Schach [20]
3 years ago
8

Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The he

ight of the cone is 14 millimeters. What is the volume of the composite figure? Express the answer in terms of π.
Mathematics
2 answers:
Flauer [41]3 years ago
5 0

Answer:

312π mm^2

Step-by-step explanation:

to find the volume of the figure, you have to calculate the volume of a cone and the volume of a sphere divided it by 2.

The volume of a cone is 1/3 * π * r ^ 2 * h, replacing the information:

V = 1/3 * (6) ^ 2 * (14) = 168π  mm^2

The volume of a sphere is 4/3 * π * r ^ 3, replacing the information:

V = 4/3 * π * (6) ^ 3 = 288π  mm^2

but since you only have half the sphere

V = 288π / 2 = 144π  mm^2

then the total volume is

Vt = 168π + 144π = 312π mm^2

garik1379 [7]3 years ago
4 0

Answer:

C. 312π mm3

Step-by-step explanation:

You might be interested in
What is the best interpretation of the y-intercept of the line?
quester [9]

Answer:

Option D. A student who studies 0 hours can expect to score about a 60 on the test

Step-by-step explanation:

we know that

The y-intercept is the value of the y-coordinate when the value of the x-coordinate is equal to zero

In this problem

The x-coordinate represent the hours spent studying

The y-coordinate represent the Test score

so

For x=0, y=60

That means

A student who studies 0 hours can expect to score about a 60 on the test

3 0
3 years ago
Read 2 more answers
A random sample is made of 256 middle managers concerning their annual incomes. The sample mean is computed to be $35,420. If th
ziro4ka [17]

Answer: a. $128.125

Step-by-step explanation:

The standard error of the mean is given by :

SE=\dfrac{\sigma}{\sqrt{n}} , where \sigma = population standard deviation , n= sample size.

Given: \sigma=\$2,050

n= 256

Then, the standard error of the mean:-

SE=\dfrac{2050}{\sqrt{256}}\\\\=\dfrac{2050}{16}=\$128.125

Hence, option a. is correct.

3 0
3 years ago
Can anybody help me out with this it’s due tomorrow please?
pogonyaev
For the first question you just need to add up all the sides. so first add all the x numbers and then add all the plain numbers.
a perimeter is the total length around the shape.
3 0
3 years ago
1 2 3 4 5 6 7 8 9 10 time remaining 49:41 jacob's daily tips this work week were $99, $78, $58, $91, $90, and $68. is jacob corr
Aleks04 [339]
The (assumed) answer to this question is no, his mean is $88.67 and his average mean he chose was $92. (Answer inconclusive due to asked question failing to repeat desired answer.)
8 0
3 years ago
Read 2 more answers
4. Classify the triangle by its sides. The lengths of the sides are 9, 9, and 9.
PilotLPTM [1.2K]
The answer to #4 is A equilateral because all the sides are the same. the sides are equal. 
# 7 would be c, 45 you have to make sure the sum is 180 #8 is B the same goes for that on fill in x and y. #11 isD And # 12 is c the sum must be 180.<span />
3 0
3 years ago
Read 2 more answers
Other questions:
  • Whats the property of 2+3=3+2
    10·1 answer
  • The temperature at 10 AM is 12°F. The temperature at 6 AM was -7°F. How many degrees did the temperature rise?
    5·2 answers
  • 10a - 35 = -8a + 1 (please show work)
    15·2 answers
  • HH represents the height of the tree (in centimeters), t tt years since Renata moved in. H = 210 + 33 t H=210+33tH, equals, 210,
    6·1 answer
  • Angle ACD is supplementary to angles ACE and BCD and congruent to angle BCE.
    8·2 answers
  • A boy spends 1/4 of his money on sweets and 1/3 on computer games, What fraction of his money does he not spend
    11·1 answer
  • Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making
    5·1 answer
  • What is the domain and range of<br> y=2x-3.5?
    12·1 answer
  • Please help!!! all these questions are due today
    13·2 answers
  • Can someone please help me with this similar area question? I have the answer but I’m not sure how to get to it. Will make brain
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!