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 surface area (in square meters) of a box with length of 3 m, width of 4 m and a height of 2 m? Round to the nearest
djyliett [7]

Answer:

C) 52

Step-by-step explanation:

=  2x 4x  3x  2x  3x  2x  4

Hope this helps!

4 0
3 years ago
What is the estimated ansewr for 318×3
Finger [1]
I would estimate this around 960 since 318 is close to 320 and 320x3 is 960, the actual answer would be 3x318 which is 954.
7 0
4 years ago
Read 2 more answers
What is the initial value of the function represented by this graph
laiz [17]

Answer:

The initial value of the function is 5

Step-by-step explanation:

we know that

The initial value of the function, is the value of the function when the value of x is equal to zero (the y-intercept)

In this problem

Observing the graph

The y-intercept is the point (05)

therefore

The value of the function for x equal to zero is 5

8 0
3 years ago
Peter the optician sees 16 patients one Tuesday.4 are neither short nor long sighted,the total number of short sighted patients
My name is Ann [436]

The number of short-sighted patients is 7

The number of long-sighted patients is 5

The number of patients requiring a varifocal lens is 4

Step-by-step explanation:

Stepwise solution-

Throughout the question, only 3 types of patients are mentioned. Hence, it would be safe to assume that he saw/sees these 3 types of patients on Tuesday.

As per the given details-

4 are neither short-sighted patients nor long-sighted patients. Then it means no of varifocal lens patients is 4.

Hence remaining total patients=16-4=12

As given, no of short-sighted patients is 2 more than the number of long-sighted patients.

Let us assume the number of long-sighted patients as “x”

Thus, the number of short-sighted patients would be “x+2”

x+(x+2)=12   (total remaining patients)

2x=10

x=5

Hence, No. of long-sighted outpatients = 5

            No. of short-sighted outpatients =7

5 0
4 years ago
Solve the simultaneous equations
Elza [17]

Answer:

3

Step-by-step explanation:

2×-3y = 12 ( multiply whit 4)

3x + 4y =1 (multiply whit 3 )

8x -12y =48

9X+ 12y = 3

if you add this equations

17X =51

X= 51 / 17

x=3

7 0
3 years ago
Read 2 more answers
Other questions:
  • What two whole, positive numbers that have a one-digit answer when multiplied and a two-digit answer when added?
    15·1 answer
  • How many outer atoms and lone pairs are present in a molecule with a square pyramidal shape?
    13·1 answer
  • Find the value of -1 -6.​
    12·2 answers
  • One solution, infinite solution, or no solution for 9x+8y=15 and 9x+8y=30
    12·1 answer
  • Ryan is a record executive for a hip hop label in Atlanta, Georgia. He has a new album coming out soon, and wants to know the be
    11·1 answer
  • Choose the equation that represents the solutions of 0 = 0.25x2 - 8x.
    7·2 answers
  • A tropical punch recipe calls for 4 parts pineapple juice to 6 parts kiwi juice. Which graph represents the amount of pineapple
    8·1 answer
  • Does the graph represent a function?
    11·2 answers
  • A contractor charges $50 for a service call
    12·2 answers
  • Hello everyone! I have to do this HW assignment and I have no idea how to do this and what the answer is. Please help ASAP!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!