The surface area of a cone, 5, is given by the formula S=²+rf, where is the radius of the base and is the slant height of the cone. Which of the following expresses in terma of 5 and A(=S-T 0 1 = ² - ²²
The surface area of a cone, 5, is given by the formula S=²+rf, where is the radius of the base and is the slant height of the cone. Which of the following expresses in terma of 5 and A(=S-T 0 1 = ² - ²²
Algebra and Trigonometry (6th Edition)
6th Edition
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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![**Surface Area of a Cone Explanation**
The surface area of a cone, denoted as \( S \), is calculated using the formula:
\[
S = \pi r^2 + \pi r \ell
\]
where:
- \( r \) is the radius of the base of the cone.
- \( \ell \) is the slant height of the cone.
**Question:**
Which of the following expressions gives \( \ell \) in terms of \( S \) and \( r \)?
Options:
- A. \(\ell = S - r\)
- B. \(\ell = \frac{S}{r}\)
- C. \(\ell = \frac{S}{\pi r} - r\)
- D. \(\ell = \frac{S - \pi r^2}{\pi r}\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17a2d8ab-b196-429b-9620-8f2501e2e071%2F6757dde3-524c-41f1-ac74-a51c54c5208a%2Fmyewyh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Surface Area of a Cone Explanation**
The surface area of a cone, denoted as \( S \), is calculated using the formula:
\[
S = \pi r^2 + \pi r \ell
\]
where:
- \( r \) is the radius of the base of the cone.
- \( \ell \) is the slant height of the cone.
**Question:**
Which of the following expressions gives \( \ell \) in terms of \( S \) and \( r \)?
Options:
- A. \(\ell = S - r\)
- B. \(\ell = \frac{S}{r}\)
- C. \(\ell = \frac{S}{\pi r} - r\)
- D. \(\ell = \frac{S - \pi r^2}{\pi r}\)
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