Ex 9.3, 5 Find the height of the cylinder whose volume is 1.54 𝑚^3and diameter of the base is 140 cm ?Given,
Volume of cylinder = 1.54 𝒎^𝟑
& Diameter = 140 cm
Radius = r = 140/2 cm
= 70 cm
= 70/100 m
= 𝟕/𝟏𝟎 m
We need to find height of the cylinder
Let h be the height of the cylinder.
Now,
Volume of cylinder = 𝜋𝑟^2 ℎ
1.54 = 𝝅𝒓^𝟐 𝒉
𝜋𝑟^2 ℎ = 1.54
22/7×(7/10)^2× ℎ = 1.54
𝟐𝟐/𝟕×𝟕/𝟏𝟎×𝟕/𝟏𝟎 × 𝒉 = 𝟏𝟓𝟒/𝟏𝟎𝟎
(22 × 7)/100 ℎ = 154/100
(154 ℎ)/100 = 154/100
154 ℎ = 154
ℎ = 154/154
ℎ = 1
∴ Height of cylinder = 1 m

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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