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
Helga [31]
3 years ago
5

The top of a cylinder is sliced off by a plane. Determine volume of the bottom portion of the cylinder.

Mathematics
1 answer:
notka56 [123]3 years ago
8 0

Answer:

Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder

Step-by-step explanation:

Here we have the volume of a cylinder given by

Volume of a cylinder = πr²h

Where the cylinder is cut by a plane into portions of heights, bottom a and top b we have

Height of bottom of is then

Height = h - b

Therefore, volume of bottom of cylinder = π·r²h = π·r²(h - b)

Volume of bottom of cylinder = π·r²·h - π·r²b

Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder.

You might be interested in
The image below shows two parallel lines cut by a transversal. What is the value of A
rewona [7]

<u>Answer</u>

59°


<u>Explanation</u>

There are 2 parallel line and one transverse.

Angles in a straight line add up to 180°

∴ 180 - (2a + 3) = 180 - 2a -3

                        = 177 - 2a

The angle (177 - 2a) corresponds to angle a in the diagram. The two corresponding angles are equal.

∴ 177 - 2a = a

  177 = a + 2a

3a  = 177

a = 177/3

  = 59°

3 0
3 years ago
1. Solve for x 3(x-6)+24=50+4(x+10)
MA_775_DIABLO [31]
X=-84. 3(x-6)+24=50+4(x+10)
distrubute. 3x-18+24=50+4x+40
move terms. 3x+6=90+4x
collect like terms 3x-4x=90-6
subtract -x=84
divide by -1. x=-84
3 0
2 years ago
Find the values of the variables
Jlenok [28]

Answer:

You can use Pythagoras theorem to calculate x:

12² + 14² = x²

144 + 196 = x²

           x² = 340

           x   = √340 ≈ 18,44

6 0
3 years ago
Suppose we fit a regression line to predict the number of incidents of skin cancer per 1,000 people from the number of sunny day
Jet001 [13]

Answer: The incidence of skin cancer (melanoma) has been underestimated.

Step-by-step explanation: The frequency of melanoma is more than 20 times higher in whites than in black Americans. In general, the risk of melanoma in the course of life is approximately 2.6% (1 in 38) for whites, 0.1% (1 in 1.000) for black people and 0.58% (1 in 172) for Hispanics. the risk for each person can be affected by a different number of factors.

6 0
3 years ago
What must be true about the sides and angles of congruent triangles?
Usimov [2.4K]

Answer:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

7 0
3 years ago
Read 2 more answers
Other questions:
  • The Richardson family is out to dinner at their favorite restaurant. The bill comes to $32.00. How much money should they leave
    5·1 answer
  • an office supply company has 180 boxes of paper. they have 22 clients and each client must receive the same amount of paper . ho
    11·1 answer
  • (-3 squared + 4(-3))(-3)
    8·1 answer
  • A fair 6-sided die is rolled 4 times and the resulting sequence of 4 numbers is recorded. How many different sequences consist e
    12·1 answer
  • Which of the following is a validation of congruency between two polygons?
    14·2 answers
  • If a + b + c.= 5 and ab + bc +ca = 10 , then prove that a3+ b3+ c3-3abc = -25
    14·1 answer
  • The sum of exterior angles of a regular polygon are equal TRUE\FALSE<br>​
    6·2 answers
  • Carter and his friends are setting up a lemonade stand in their neighborhood. Their recipe makes 5 cups of lemonade, and calls f
    10·1 answer
  • Stephanie is making beef for a party the recipe uses 1 1/2 teaspoons of pepper, 3 2/4 teaspoons of garlic powder 1/8 teaspoons o
    8·1 answer
  • Mr Baxter deposits 2,000 in an account that earns %5 simple interest how much is mr Baxter investment after 8 years?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!