NCERT Solutions for Class 10 Maths Chapter 13
Important NCERT Questions
Surface areas and Volumes,
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 13.2
Page No:248
Questions No:3
A gulab jamun, contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm
Share
Radium of hemispherical part (r) = Radius of cylindrical part (r) = 2.8/2 = 1.4 cm
Height of Hemispherical part = Radius of hemispherical part = 1.4 cm
Height of cylindrical part (h2) = 5 -2 × height of hemispherical part = 5 – 2 × 1.4 = 2.2 cm
Volume of 1 Gulab jamun = Volume of cylindrical part + 2 × Volume of hemispherical part.
= πr²h + 2 × 2/3πr³ = πr²h + 4/3πr³
= π(1.4)² (2.2) + 4/3π(1.4)³
= 22/7 × 1.4 × 1.4 × 2.2 + 4/3 × 22/7 × 1.4 × 1.4 × 1.4
= 13.552 + 11.498
= 25.05 cm³
Volume of 45 Gulab Jamun
= 45 × 25.5
= 1,127.25 cm³
Volume of sugar syrup = 30% of volume of 45 Gulab Jamun
= 30/100 × 1127.25
= 338.17 cm³
Get Hindi Medium and English Medium NCERT Solution for Class 10 Maths to download.
Please follow the link to visit website for first and second term exams solutions.
https://www.tiwariacademy.com/ncert-solutions/class-10/maths/chapter-13/