# Chapter 13 – Surface Areas and Volumes Questions and Answers: NCERT Solutions for Class 10 Maths

Class 10 Maths NCERT book solutions for Chapter 13 - Surface Areas and Volumes Questions and Answers.

= π cm3

## 5. An oil funnel made of tin sheet consists of a 10 cm long cylindrical portion attached to a frustum of a cone. If the total height is 22 cm, diameter of the cylindrical portion is 8 cm and the diameter of the top of the funnel is 18 cm, find the area of the tin sheet required to make the funnel (see Fig.).

### Solution: Given, Diameter of upper circular end of frustum part = 18 cm So, radius (r1) = 9 cm Now, the radius of the lower circular end of frustum (r2) will be equal to the radius of the circular end of the cylinder So, r2= 8/2 = 4 cm Now, height (h1) of the frustum section = 22 – 10 = 12 cm And, Height (h2) of cylindrical section = 10 cm (given) Now, the slant height will be-

Or, l = 13 cm
Area of tin sheet required = CSA of frustum part + CSA of cylindrical part
= π(r1+r2)l+2πr2h2
Solving this we get,
Area of tin sheet required = 782 4/7 cm2
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://www.mapsofindia.com/my-india/education/chapter-13-surface-areas-and-volumes-questions-and-answers-ncert-solutions-for-class-10-maths", "fetch_time": 1686080138000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2023-23/segments/1685224653071.58/warc/CC-MAIN-20230606182640-20230606212640-00552.warc.gz", "warc_record_offset": 942706225, "warc_record_length": 27347, "token_count": 308, "char_count": 1081, "score": 4.46875, "int_score": 4, "crawl": "CC-MAIN-2023-23", "snapshot_type": "latest", "language": "en", "language_score": 0.8374122977256775, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00013-of-00064.parquet"}