Question

Find the curved surface area of a hemisphere whose diameter is 14 cm

Answer 1

$\huge{ \underline{ \underline{ \green{ \sf{ Detailed \: Answer :}}}}}$

Given :

Diameter of hemisphere is 14 cm

To find :

Curved surface area of a hemisphere

Formula :

${\purple{\boxed{\large{\bold{Curved\:Surface\:Area\:of\:a\:Hemisphere=2\pi\:r{}^{2}}}}}}$

⇒ the Hemisphere is the half part of a sphere, therefore, the curved surface area is also half that of the sphere.

Solution :

radius =$\frac{diameter}{2}=7cm$

Area of a hemisphere

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

$= 2 \times \pi \times (7) {}^{2}$

$= 2 \times \frac{22}{7} \times 7 \times 7$

$= 2 \times 22 \times 7$

$= 308 \: cm {}^{2}$

⇒The curved surface area of hemisphere is 308 cm².

___________________________

More Formula's related to Hemisphere :

$1)volume = \frac{2}{3}\pi \: r {}^{3}$

$2) \: total \: surface \: area \: of \: hemisphere = 3\pi \: r {}^{2}$

Answer 2

Answer:

• Area of hemisphere = 308 cm².

Given :

• Diameter of hemisphere = 14 cm

To find :

• Area of hemisphere =?

Step-by-step explanation:

Diameter of hemisphere = 14 cm [Given]

Radius = Diameter /200

Substituting the values, we get,

= 14/2

= 7 cm

Hence, Radius of hemisphere = 7 cm.

As we know that,

Area of hemisphere = 2 π r²

Substituting the values in the above formula, we get,

= 2 × 22/7 × (7)²

= 2 × 22/7 × 7 × 7

= 2 × 22 × 7

= 44 × 7

= 308.

Thus, The Area of the Hemisphere = 308 cm².