Question

the diemeter of hemisphere is 14cm. its curve surface area is?​

Answer 1

Answer:

CSA OF HEMISPHERE=2πrsquare

CSA OF HEMISPHERE=308

Answer 2

• Curved surface area of the hemisphere = 308 cm².

Given :–

• The diameter of hemisphere = 14 cm.

To Find :–

• Curved surface area (C.S.A.) of hemisphere.

Solution :–

Formula used,

$\huge{\orange{ \star}} \: { \large \purple{ \boxed {\pink{{ \sf{C.S.A. \: of \: a \: Hemisphere = 2\pi {r}^{2} }}}}}} \: \huge{ \orange{ \star}}$

Given,

Diameter of the hemisphere = 14 cm.

First, we need to find the radius of the hemisphere.

We know that,

$\huge{\orange{ \star}} \: \small{{ \purple{ \boxed {\pink{{ \sf{Radius = \dfrac{Diameter}{2} }}}}}}} \: \: \huge{ \orange{ \star}}$

So,

$\rightarrow \cancel \dfrac{14}{2} \: cm$

$\rightarrow7 \: cm$

• Radius = 7 cm.

Now, we have to find the C.S.A. of the hemisphere.

C.S.A. of the hemisphere = 2πr²

$\rightarrow 2 \times \dfrac{22}{7} \times {(7 \: cm)}^{2}$

$\rightarrow2 \times \dfrac{22}{ \cancel{7}} \times 7 \times \cancel 7 \: {cm}^{2}$

$\rightarrow2 \times 22 \times 7 \: {cm}^{2}$

$\rightarrow44 \times 7 \: {cm}^{2}$

$\rightarrow308 \: {cm}^{2}$

Hence,

The curved surface area (C.S.A.) of the hemisphere is 308 cm².