• # question_answer A right circular cone of radius 3 cm, has a curved surface area of $47.1\text{ }c{{m}^{2}}$. Find the volume of the cone. (use$\pi =3.14$)

 Given, radius of right circular cone $=3\text{ }cm$ and, curved surface area $=47.1\text{ }c{{m}^{2}}$ $\pi rl=47.1$ $l=\frac{47.1}{3.14\times 3}=5\,cm$ $\therefore h=\sqrt{{{l}^{2}}-{{r}^{2}}}$ $=\sqrt{{{(5)}^{2}}-{{(3)}^{2}}}$ $=\sqrt{25-9}=4\,cm$ Now,     Volume of cone $=\frac{1}{3}\pi {{r}^{2}}h$ $=\frac{1}{3}\times 3.14\times 3\times 3\times 4$ $=37.68\,c{{m}^{3}}$
The passage contains a mathematical question about finding the volume of a cone given its radius and curved surface area, and it also provides a detailed solution to the problem.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
• # question_answer A right circular cone of radius 3 cm, has a curved surface area of $47.1\text{ }c{{m}^{2}}$. Find the volume of the cone. (use$\pi =3.14$)

 Given, radius of right circular cone $=3\text{ }cm$ and, curved surface area $=47.1\text{ }c{{m}^{2}}$ $\pi rl=47.1$ $l=\frac{47.1}{3.14\times 3}=5\,cm$ $\therefore h=\sqrt{{{l}^{2}}-{{r}^{2}}}$ $=\sqrt{{{(5)}^{2}}-{{(3)}^{2}}}$ $=\sqrt{25-9}=4\,cm$ Now,     Volume of cone $=\frac{1}{3}\pi {{r}^{2}}h$ $=\frac{1}{3}\times 3.14\times 3\times 3\times 4$ $=37.68\,c{{m}^{3}}$
user
The passage contains a mathematical question about finding the volume of a cone given its radius and curved surface area, and it also provides a detailed solution to the problem.

TYPE: SINGLE_QUESTION_WITH_ANSWER