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Maru [420]
3 years ago
15

The volume of a cylinder is 40ft³. Which expression represents the volume of a cone with the same base and height as the cylinde

r?
A. 3 (40) ft³
B. 3 (1/40) ft³
C. 1/3 (40) ft³
D. 1/3 (40²) ft³
Mathematics
1 answer:
lana66690 [7]3 years ago
4 0

Answer:

The answer is C or 1/3 (40) ft³.

Step-by-step explanation:

If you have the volume of a cylinder and want to find the volume of a cone with the same base and height, the volume of a cone will always be 1/3 of a cylinder. So, you would multiply 1/3 by the volume of the cylinder ( in this case, it is 40). So, the answer is C.

The answer is not A, because a cone is not  3 times a cylinder, its the other way around.

Its not B, because the volume of our cylinder is not 1/40.

Lastly, D is also incorrect, because if you have the volume of the cylinder, you do not need to square it in order to find the cones volume.

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Can someone help me and explain what to do here?
Vesna [10]

Answer:

 ∠STU = 69°

Step-by-step explanation:

The angle with vertex T is called an "inscribed angle." It intercepts arc SU. The relationship you are asked to remember is that the measure of the inscribed angle (T) is half the measure of the arc SU.

Point V is taken to be the center of the circle. The angle with vertex V is called a "central angle." It also intercepts arc SU. The relationship you are asked to remember is that the measure of the central angle (V) is equal to the measure of arc SU.

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Using these two relationships together, we realize angle V is twice the measure of angle T:

  ∠SVU = 2×∠STU

  18x +12° = 2(18x -57°) . . . . . . relationship between the marked angles

  18x +12° = 36x -114° . . . . . eliminate parentheses

  126° = 18x . . . . . . . . . . . add 114°-18x

  ∠STU = 18x -57° = 126° -57°

 ∠STU = 69°

_____

<em>Additional comment</em>

You may notice we did not solve for x. We only needed to know the value of 18x, so we stopped when we found that value. (Actually, we only need the value of 18x-57°. See below.)

__

<em>Alternate solution</em>:

  (18x +12°) -(18x -57°) = 18x -57° . . . . . . . subtract 18x -57° from both sides of the first equation.

  69° = 18x -57° . . . . . simplify. This is the answer to the problem.

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A'(3,1)
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