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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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The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points ​(10​,14​) and ​(35​,49​) form a proportional relationship.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

From the above formula, we can find the slope of the line:

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The equation will be:

y = 7x/5 + c

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14 = 7(10)/5 + c

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5y - 7x = 0

Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points ​(10​,14​) and ​(35​,49​) form a proportional relationship.

Learn more about the slope here:

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