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
ollegr [7]
3 years ago
12

A coconut is a fruit that is made up of a hard outer shell that is spherical. Inside, there is a thick layer of coconut meat tha

t forms another spherical shell around the coconut milk. If the diameter of an entire coconut is 55 inches, and the coconut meat is 11 inch thick, then there is room for approximately _[blank]_ in3in3 of coconut milk. What number correctly fills in the blank in the previous sentence? Hint: Find the radius of the inside sphere and use that to calculate the volume. Use 3.143.14 for ππ and round your answer to the nearest hundredth, if necessary, like this: 42.53
Mathematics
1 answer:
Dvinal [7]3 years ago
7 0

Answer:

V = 18816.57 in^3

Step-by-step explanation:

So we need to find the volume of the inner sphere. Try to picture the coconut as a circle with another circle inside of it. We know that the bigger circle is 55 inches wide, and the distance between the circumferences of the circles is 11 inches. that means the inner circle is 55 - 2(11) inches wide. This is because we have 11 inches of coconut meat on either side of the inner circle.

55 - 2(11) = 33 inches

The radius is half of the diameter, so r = 16.5 inches.

Now just use the formaula V = \frac{4}{3}\pi  r^{3}

V = (4/3) * 3.14 * (16.5)^3

V = 18816.57 in^3

<em>Also, just a side note.. this is one big coconut..</em>

You might be interested in
(x+1)(2x-4)(1/x+1) = (x+1)(2x-4)(1-5/2x-4)
Sunny_sXe [5.5K]

Solution:

(x+1)(2x-4)(\frac{1}{x}+1)=(x+1)(2x-4)(1-\frac{5}{2x}-4)\\(x+1)(2x-4)(\frac{1}{x}+1)-(x+1)(2x-4)(1-\frac{5}{2x}-4) = 0\\(x+1)(2x-4)(\frac{1}{x}+1-(1-\frac{5}{2x}-4))=0\\(x+1)(2x-4)(\frac{1}{x}+1-(-3\frac{5}{2x}))=0\\(x+1)(2x-4)(\frac{1}{x}+1+3+\frac{5}{2x})=0\\(x+1)(2x-4)(\frac{1}{x}+4+\frac{5}{2x})=0\\(x+1)(2x-4)(\frac{5x^{2}+8x+2}{2x} )=0\\

x+1=0\\x=-1\\\\2x-4=0\\x=2\\\\\frac{5x^{2}+8x+2}{2x}=0\\x=\frac{-4+\sqrt[]{6}}{5}\\x=\frac{-4-\sqrt[]{6}}{5}

Answer:

x=-1\\x=2\\x=\frac{-4+\sqrt[]{6}}{5}\\x=\frac{-4-\sqrt[]{6}}{5}

<em>Hope this was helpful.</em>

8 0
3 years ago
Please help me I don't understand.
qaws [65]

Answer:

Parallel cut-rectangle

Perpendicular cut-triangle

Step-by-step explanation:

A rectangular pyramid has a base that is a rectangle, but comes up into a point.

5 0
3 years ago
Find the amount paid for the loan.<br><br> $2000 at 12% for 3 years
Free_Kalibri [48]
They paid $720

Here's why:
The formula to this is Interest = Principal x Rate x Time or i = prt
Principal = $2000
Rate = 12%
Time = 3 years
2000 x .12 x 3 = i PEMDAS
2000 x .12 = 240
240 x 3 = 720
i = $720
3 0
3 years ago
A letter used to represent a number in equations or expressions
natita [175]
The answer is “x”. “x” represents the missing number in the problem.

Example:
16+x=20
The missing number, 4, would be represented as x. Hope this helps!
6 0
3 years ago
What is the combine like terms of 3(12x-x
steposvetlana [31]

Step-by-step explanation:

33x

7 0
3 years ago
Other questions:
  • A spherical block of ice melts so that its surface area decreases at a constant rate: ds/dt = - 8 pi cm^2/s. calculate how fast
    14·1 answer
  • If an interior angle of a regular polygon measures 144°, how many sides does the polygon have?
    10·1 answer
  • at a restaurant you order a meal and a beverage that costs $14. the sales tax is 6%, and you leave a 20% tip. what is the total
    12·2 answers
  • kelly wants to enclose a rectangular area for her dog with 240 feet of fencing.she wants the width to be 20 feet. what will be t
    6·1 answer
  • Carol is baking cookies and needs 2 1/4 cups of flour 2/3 cup of white sugar 1/4 cup of brown sugar and 1/16 cup of baking soda
    10·1 answer
  • I'm stuck on this please help
    11·1 answer
  • The following stem-and-leaf plot represents the times in minutes required for 26 co-workers to commute to work. Use the data pro
    11·1 answer
  • Sam has saved 1400 cents from selling lemonade how many dollars does Sam have
    8·1 answer
  • Geometry, please answer question ASAP
    14·1 answer
  • Hi everyone how are you all feel free to take the fre points or talk if ya wanna
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!