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Alexeev081 [22]
3 years ago
13

A cylinder and a cone have the same base and height. The cylinder can hold about 4,712 mc015-1.jpg of sand. Jared says that the

cone can hold about 1,178 mc015-2.jpg of sand. Which explains whether Jared is correct?
Jared is correct because the volume of the cone is less than the volume of the cylinder. The cone holds mc015-3.jpg less sand than the cylinder.
Jared is correct because the cone and the cylinder have the same base and height so the cone holds mc015-4.jpgof sand.
Jared is not correct because the cone and the cylinder have the same base and height so the cone holds mc015-5.jpg of sand.
Jared is not correct because the volume of the cone cannot be found without knowing the radius of the base and the height of the cone.
Mathematics
2 answers:
Mila [183]3 years ago
8 0

Answer:

C

Step-by-step explanation:

exis [7]3 years ago
6 0
The correct answer is C. So, lets go first to the equations that determine the volume of these solids. For the cylinder, that is simple; pi*r*r*h where r is the radius, h is the height and pi is the constant 3.14. For the cone, it is not easy to derive but one gets that the formula is:\frac{ \pi*r^2*h}{3}.

We notice thus that V_{cyl}=\pi*r^2*h=3V_{cone}. That holds irrespective of their radius or height; we only need to know that the heights and radii of the two objects are the same. Now, we have thus that:
\frac{V_{Cyl}}{V_{Cone} } =1/3.

We can check if this holds for Jared's statement; 1178/4712=0.25=1/4. So, it does not hold and thus Jared's statement is incorrect.
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This is my last question I need help with.
Viktor [21]

Answer:

Option 1

Step-by-step explanation:

The formula of constant porpotionality is

y = kx

or

y =  \frac{k}{x}

where k is the constant of porpotionality.

This equation is direct variation so we will use

y = kx

The equation is in the form

y = 1.5x

1.5 is in k place so the constant of porpotionality is 1.5

3 0
2 years ago
The diameter of a circle has endpoints P(-12, -4) and Q(6, 12).
nexus9112 [7]

9514 1404 393

Answer:

  (x +3)² +(y -4)² = 145

Step-by-step explanation:

The center of the circle is the midpoint of the given segment PQ. If we call that point A, then ...

  A = (P +Q)/2

  A = ((-12, -4) +(6, 12))/2 = (-12+6, -4+12)/2 = (-6, 8)/2

  A = (-3, 4)

The equation of the circle for some radius r is ...

  (x -(-3))² +(y -4)² = r² . . . . . . where (-3, 4) is the center of the circle

The value of r² can be found by substituting either of the points on the circle. If we use Q, then we have ...

  (6 +3)² +(12 -4)² = r² = 9² +8²

  r² = 81 +64 = 145

Then the equation of the circle is ...

  (x +3)² +(y -4)² = 145

3 0
3 years ago
Ethan borrowed $2,190 for a new dirt bike. He will pay the money back in 3 years with a simple interest rate of 2.5%. How much i
Taya2010 [7]

Answer:

<h2>The interest ethan will pay is $164.25</h2>

Step-by-step explanation:

To calculate the interest paid by ethan on the borrowed bike using the formula.

Simple Interest = Principal * rate * time/100

Principal =  $2,190, rate = 2.5%, time = 3years

On substitution

SI = \frac{2190*3*2.5}{100}

SI = \frac{16,425}{100}\\ SI= $164.25

The interest ethan will pay is $164.25

3 0
3 years ago
Peter is reading a 193-page book. He has read three pages more than one fourth of the number of pages he hasnt yet read. How man
Anit [1.1K]
<span>Let n = the number of pages not read
Then the number of pages read = n/4 + 3
Since the total number of pages is 193, we have

n + n/4 + 3 = 193
5n/4 = 190
n = 152
At 8 pages per day it will take 152 pages/ 8 pages/day = 19 days

</span>
5 0
3 years ago
1 minus 5/6 and simplify answer
MAVERICK [17]

Answer:

1-5/6 is 1/6

Step-by-step explanation:

say you have 1 pie, It is sliced into 6 pieces and you take 5, only 1 would be left. (hope this helps Good luck ;))

7 0
2 years ago
Read 2 more answers
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