M.L Aggarwal book Important Question of class 10 chapter Based on Mensuration for ICSE BOARD.
Here diameter and urved surface area of cylinder has been given
Find the height of the cylinder correct to one decimal place and find the volume of the cylinder correct to one decimal place.
This is the Question Number 10, Exercise 17.1 of M.L Aggarwal.
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A cylinder has a diameter of 20 cm. The area of curved surface is 1000 cm2. Find (i) the height of the cylinder correct to one decimal place. (ii) the volume of the cylinder correct to one decimal place. (Take pi (π) = 3.14)
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(i) Given diameter of the cylinder, d = 20 cm
Radius, r = d/2 = 20/2 = 10 cm
Curved surface area = 1000 cm2
2rh = 1000
2×3.14×10×h = 1000
62.8h = 1000
h = 1000/62.8
= 15.9 cm
Hence the height of the cylinder is 15.9 cm.
(ii)Volume of the cylinder, V = r2h
= 3.14×102×15.9
= 4992.6 cm3
Hence the volume of the cylinder is 4992.6 cm3.