- GST
- Banking
- Shares and Dividends
- Quadratic Equations in One Variable
- Factorization
- Ratio and Proportion
- Matrices
- Arithmetic and Geometric Progression
- Reflection
- Section Formula
- Equation of Straight Line
- Similarity
- Locus
- Circles
- Constructions
- Mensuration
- Trigonometric Identities
- Trigonometric Tables
- Heights and Distances
ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.1 in Chapter 17 - Mensuration
Prev
The sum of the radius and the height of a cylinder is 37 cm and the total surface area of the cylinder is 1628 cm2 . Find the height and the volume of the cylinder.
Solution:
The density of a cylinder is determined by its volume, which represents how much material may be immersed in it or carried inside of it.
Let r be the radius and h be the height of the cylinder.
Given the sum of radius and height of the cylinder, r+h = 37 cm
Total surface area of the cylinder = 1628 cm2
2π r(r+h) = 1628
2×(22/7)×r×37 = 1628
r = (1628×7)/(2×22×37)
r = 7 cm
We have r+h = 37
7+h = 37
h = 37-7 = 30 cm
Volume of the cylinder, V = π r2h
= (22/7)×72×30
= (22/7)×49×30
= 4620 cm3
Hence the height and volume of the cylinder is 30 cm and 4620 cm3 **respectively.** 
Facebook
Whatsapp
Copy Link
Lido
Courses
Quick Links
Terms & Policies
Terms & Policies
