Question

A hemisphere of inner diameter 14cm find its curved surface area

Answer 1

CSA OF HEMISPHERE=2πrsquare
CSA OF HEMISPHERE=308

Answer 2

Answer:

Step-by-step explanation:

Curved surface area of hemisphere

When a sphere is cut along a plane that runs through its centre, a hemisphere is produced.The space occupied by the surface of a three-dimensional object is referred to as its surface area. The space occupied by a hemisphere's curved surface is known as the curved surface area(CSA).

Formula:

Curved surface area of a hemisphere = $\frac{1}{2} (x)$

where $x$→ curved surface area of sphere

                                                               = $\frac{1}{2}(4\pi r^{2} )$

                                                               = $2\pi r^{2}$    ⇒  A

where $r$ is the radius of the hemisphere.

Given:

Inner diameter of hemisphere , $d=14 cm$

To find:

Curved surface area of hemisphere , CSA

Solution:

• Radius of hemisphere, $r=\frac{d}{2}$    = $\frac{14}{2}$   (since $d=14$)

                                      $r=7 cm$

• Substitute values in formula A,

                                CSA = $2\pi r^{2}$

                                         =$2*\frac{22}{7} *7^{2}$

                                         = $2*22*7$

                                         =$308 cm^{2}$  

Hence, circumference of hemisphere with diameter $14cm$ is $308cm^{2}$

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