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The curved surface area of a …

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The curved surface area of a cylinder is 1,320 cm and it's volume is 2640 cm³ , find its height

Posted by Shlesha Katre 6 years, 11 months ago

CBSE > Class 08 > Mathematics

1 answers

Yogita Ingle 6 years, 11 months ago

Curved surface area of a cylinder is 2πrh.
Given curved surface area of a cylinder is 1320 cm² .
2πrh = 1320 cm² .--------(1)
Given volume of the cylinder is 2640 cm³ ,
Volume of the cylinder is πr²h.
πr²h = 2640 --------(2)
Divide (2) by (1) we get
πr²h / 2πrh = 2640 / 1320
r / 2 = 2
r = 4 cm.
Now 2πrh = 1320
2 x (22/7) x 4 x h = 1320
h = (1320 x 7) / (44 x 4)
h = 52.5 cm.
∴ height of the cylinder = 52.5 cm.

4Thank You

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Posted by Monika 8B 5 months, 2 weeks ago

CBSE > Class 08 > Mathematics