﻿ A cylindrical gas container is closed at the top and open at the bottom; if the iron plate forming the cylindrical sides. The ratio of the height to diameter of the diameter of the cylindrical using minimum material for the same capacity is : Kaysons Education

# A Cylindrical Gas Container Is Closed At The Top And Open At The Bottom; If The Iron Plate Forming The Cylindrical Sides. The Ratio Of The Height To Diameter Of The Diameter Of The Cylindrical Using Minimum Material For The Same Capacity Is

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## Question

### Solution

Correct option is

1/2

Volume cylinder = π r2 h = constant; then let

r2 h = k           or

Area of metal sheet used = π r2 + 2πrh

(top)         (curved)

A (rh) = π r2 + 2πrh

A is min at

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