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
Kryger [21]
3 years ago
15

Container A is cylinder with a radius of 10 units and a height of 10 units. A right cone has been carved from its base and has a

height of 10 units. Container B has the same radius as container A. Which statement derives the formula to find the volume of container B? π(102)(10) − π (102)(10) 2[π(102)(10) − π(102)(10)] π(102)(10) − π(102)(10) 2[π(102)(10) − π(102)(10)]

Mathematics
1 answer:
jekas [21]3 years ago
7 0

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is  C

Step-by-step explanation:

From the question we are told that

       The radius of the cylinder is  r = 10 \  units

        The height of the right cone is  h = 10 \ units

From the diagram we see that container B is  a semi -sphere and the  volume of a semi-sphere is mathematically represented as

            V =  \frac{2}{3} \pi r^3

The question tells us that both container has the same radius so

       V  =  \frac{2 \pi }{3} 10^3

   This equivalent to

          V =  \pi (10^2) (10) -  \frac{1}{3} (10^2) (10)

Solving the equation will produce the same formula as

        V  =  \frac{2 \pi }{3} 10^3

You might be interested in
Find the area K of the triangle.<br> C= 70 degrees<br> a= 1<br> b=4<br> K= ? square units
Rama09 [41]
Homie post the whole question
what is k?
4 0
3 years ago
Find the common ratio of the geometric sequence 8, 16, 32
Furkat [3]
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 gives the next term.
5 0
3 years ago
In △ABC, m∠A=39°, a=11, and b=13. Find c to the nearest tenth.
Talja [164]

For this problem, we are going to use the <em>law of sines</em>, which states:

\dfrac{\sin{A}}{a} = \dfrac{\sin{B}}{b} = \dfrac{\sin{C}}{c}


In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, B. Then, we can find the third side. Using the law of sines, we can find:

\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{B}}{13}


We can use this to solve for B:

13 \cdot \dfrac{\sin{39^{\circ}}}{11} = \sin{B}

B = \sin^{-1}{\Big(13 \cdot \dfrac{\sin{39^{\circ}}}{11}\Big)} \approx 48.1


Now, we can find C:

C = 180^{\circ} - 48.1^{\circ} - 39^{\circ} = 92.9^{\circ}


Using this, we can find c:

\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{92.9^{\circ}}}{c}

c = \dfrac{11\sin{92.9^{\circ}}}{\sin{39^{\circ}}} \approx \boxed{17.5}


c is approximately 17.5.

8 0
3 years ago
Find area of a rectangle with vertices -9,3 -9,-7 -6,-7 and -6,-3
VikaD [51]
4 times 3 equals 12.
3 0
3 years ago
Julia rounded to the nearest ten to estimate the difference between two numbers. The estimated difference was 10. What are four
serious [3.7K]

To round off to 10, the difference should range from 5 to 14. If the difference between two numbers is from 5 to 14, they all are rounded to 10.

Example:

18-9=9 (near to 10)

26-15=11

46-39=7

50-42=8


3 0
3 years ago
Other questions:
  • Please help me!!!!!! how do you find the input/output (math terms)
    12·1 answer
  • Ying is going out to a pasta dinner. There are 5 types of noodles to choose from and 4 choices of vegetable side. How many diffe
    12·1 answer
  • What is the answer?(math)
    9·1 answer
  • 5:c :: 30:42 solve the proportion
    6·1 answer
  • Solve -5w = -80 for w.
    5·2 answers
  • Which relation is a function?
    13·1 answer
  • 7(3x+-9) what is the answer
    13·2 answers
  • What is the value of x?<br><br> O 6<br> O 62<br> O 12<br> O 122
    10·2 answers
  • What is the value of y in the equation 2(2y – 14) = 0? (​
    7·2 answers
  • Factor by Grouping.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!