 # ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.1 in Chapter 17 - Mensuration

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.** Related Questions

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