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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.1 in Chapter 17 - Mensuration
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Question 30 Mensuration Exercise 17.1
The total surface area of a cylinder is 352 cm2 . If its height is 10 cm, then find the diameter of the base.
Answer:
Solution:
The area of the cylinder is determined by adding the areas of its two circular bases and curving surface.
Total surface area of the cylinder = 353 cm2
Height, h = 10 cm
2π r(r+h) = 352
2×(22/7)×r×(r+10) = 352
r2+10r = (352×7)/2×22
r2+10r = 56
r2+10r-56 = 0
(r+14)(r-4) = 0
r+14 = 0 or r-4 = 0
r = -14 or r = 4
Radius cannot be negative. So r = 4.
Diameter = 2×r = 2×4 = 8 cm.
Hence the diameter of the base is 8 cm. 
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