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ASHA 777 [7]
3 years ago
12

Which explanation can be used to informally derive the formula for the volume of a cone? A. A cone consists of a circle as a bas

e and triangles for its body. The formula for the volume of a cone can be derived by adding the formula for the area of circle and the area of the number of triangles that will cover the body of a cone. B. A cone is approximately the same size as 1.5 spheres. Using the formula for the volume of a sphere and multiplying it by 1.5 will give the formula for the volume of a cone. C. A cone is similar to a triangular pyramid except that a cone has curved edges. Therefore, the formula for the volume of a cone can be derived by using the formula of a triangular pyramid and using the radius instead of the base length. D. A cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.
Mathematics
2 answers:
TEA [102]3 years ago
7 0

Answer:

D. A cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

Step-by-step explanation:

A cylinder and a cone with the same radius will have different volumes.  This is because the cone comes to a point whereas the cylinder does not.

A filled cone will hold 1/3 of the amount of a cylinder with the same radius.  This means that we can derive the formula for a cone by multiplying the formula for the volume of a cylinder by 1/3.

Nikolay [14]3 years ago
5 0

Answer:

Correct Answer is: D. A cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 13 of the volume of a cylinder with the same height and radius.

Step-by-step explanation:


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What inequality describes the solutions of 2y less than or equal to 8?
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Answer:

*View attached graph*

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Calculate two iterations of Newton's Method for the function using the given initial guess. (Round your answers to four decimal
pickupchik [31]

Answer:

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Step-by-step explanation:

The Newton's Method is a multi-step numerical method for continuous diffentiable function of the form f(x) = 0 based on the following formula:

x_{i+1} = x_{i} -\frac{f(x_{i})}{f'(x_{i})}

Where:

x_{i} - i-th Approximation, dimensionless.

x_{i+1} - (i+1)-th Approximation, dimensionless.

f(x_{i}) - Function evaluated at i-th Approximation, dimensionless.

f'(x_{i}) - First derivative evaluated at (i+1)-th Approximation, dimensionless.

Let be f(x) = x^{2}-8 and f'(x) = 2\cdot x, the resultant expression is:

x_{i+1} = x_{i} -\frac{x_{i}^{2}-8}{2\cdot x_{i}}

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x_{3} = 2 - \frac{1}{6}

x_{3} = \frac{11}{6}

7 0
3 years ago
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