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A Cylinder of Same Height and Radius is Placed on the Top of a Hemisphere. Find the Curved Surface Area of the Shape If the Length of the Shape Be 7 Cm. - Mathematics

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Question

A cylinder of same height and radius is placed on the top of a hemisphere. Find the curved
surface area of the shape if the length of the shape be 7 cm.

Solution

Given length of the shape - 7cm 

But length -r +r                     

⇒ 2r -7 cm 

⇒ r - `7/2` cm 

⇒ r-3.5 cm 

Also : h - r 

Total S.A of shape - `2πrh + 2πr^2 - 2πr × r +2πr^2`

- `2πr^2 + 2πr^2`

- `4 πr^2`

- `4× 22/7 ×  (3.5)^2`

-154`cm^2` 

 

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Chapter 21: Surface Areas and Volume of a Sphere - Exercise 21.1 [Page 8]

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RD Sharma Mathematics [English] Class 9
Chapter 21 Surface Areas and Volume of a Sphere
Exercise 21.1 | Q 8 | Page 8

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