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Question
The ratio of diameter to height of a Borosil cylindrical glass is 3 : 5. If the actual diameter of the glass is 6 cm, then the curved surface area of the glass is ______.
Options
120π
60π
30π
18π
MCQ
Fill in the Blanks
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Solution
The ratio of diameter to height of a Borosil cylindrical glass is 3 : 5. If the actual diameter of the glass is 6 cm, then the curved surface area of the glass is 60π.
Explanation:
Given diameter = 6 cm → radius r = 3 cm.
Ratio diameter : height = 3 : 5
⇒ If diameter = 6 (i.e. 3 × 2) then height = 5 × 2 = 10 cm.
Curved surface area (CSA) of a cylinder = 2πrh
= 2π × 3 × 10
= 60π cm2
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