The volume of a cone can be calculated using the formula V= rr²Which expression can be used to represent the height, h? %3D 3V2 (1) (2) 3V A. (3), 3ar2 (4) 3AT V. (5)-

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Title: Calculating the Height of a Cone from Its Volume

The volume of a cone can be calculated using the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
Which expression can be used to represent the height, \( h \)?

Choices:
1. \(\frac{3V^2}{\pi r}\)
2. \(\frac{3V}{\pi r^2}\)
3. \(\frac{V}{3 \pi r^2}\)
4. \(\frac{\sqrt{V}}{3 \pi r}\)
5. \(\frac{V}{\sqrt{3 \pi r}}\)

The formula given shows that the volume \( V \) of a cone is a function of its radius \( r \) and height \( h \). The question is asking for the formulation of the height \( h \) in terms of the given volume and radius.
Transcribed Image Text:Title: Calculating the Height of a Cone from Its Volume The volume of a cone can be calculated using the formula: \[ V = \frac{1}{3} \pi r^2 h \] Which expression can be used to represent the height, \( h \)? Choices: 1. \(\frac{3V^2}{\pi r}\) 2. \(\frac{3V}{\pi r^2}\) 3. \(\frac{V}{3 \pi r^2}\) 4. \(\frac{\sqrt{V}}{3 \pi r}\) 5. \(\frac{V}{\sqrt{3 \pi r}}\) The formula given shows that the volume \( V \) of a cone is a function of its radius \( r \) and height \( h \). The question is asking for the formulation of the height \( h \) in terms of the given volume and radius.
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