• # question_answer The number of sphere of 6 cm diameter that can be made out of a metallic solid cylinder of diameter 4 cm and height 45 cm, is A)  5         B)  6 C)  8                                 D)  10

Radius of cylinder, ${{r}_{1}}=2\,cm$ And height of cylinder, ${{h}_{1}}=45\,cm$ $\therefore$ Volume of cylinder $=\pi {{2}^{2}}\times 45$                                  $=180\pi$ Now, radius of sphere $=3\,cm$ $\therefore$ Volume of sphere $=\frac{4}{3}\pi {{(3)}^{3}}$                                $=36\pi$ $\therefore$ Number of required sphere $=\frac{180\pi }{36\pi }=5$
The text passage contains a mathematical question about determining the number of spheres that can be made from a cylinder, along with a detailed solution and the final answer.
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 The number of sphere of 6 cm diameter that can be made out of a metallic solid cylinder of diameter 4 cm and height 45 cm, is A)  5         B)  6 C)  8                                 D)  10

Radius of cylinder, ${{r}_{1}}=2\,cm$ And height of cylinder, ${{h}_{1}}=45\,cm$ $\therefore$ Volume of cylinder $=\pi {{2}^{2}}\times 45$                                  $=180\pi$ Now, radius of sphere $=3\,cm$ $\therefore$ Volume of sphere $=\frac{4}{3}\pi {{(3)}^{3}}$                                $=36\pi$ $\therefore$ Number of required sphere $=\frac{180\pi }{36\pi }=5$
user
The text passage contains a mathematical question about determining the number of spheres that can be made from a cylinder, along with a detailed solution and the final answer.

TYPE: SINGLE_QUESTION_WITH_ANSWER