Question

6. The radius of sphere is 7 cm. Find its curved surface area, total surface area
and volume.​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

${\huge{\underline{\underline{\bf{\maltese Question}}}}}$

Q - The radius of Sphere is 7 cm . Find it's Curved Surface Area , Total Surface Area and Volume .

${\huge{\underline{\underline{\bf{\maltese Answer\checkmark}}}}}$

★ Concept :

• In Sphere , The Total Surface Area is equal to the Curved Surface Area .

• This is because the sphere has only one surface , which is curved , not plane ..

• So , CSA = TSA = 4 π r²

• Volume - It is the space occupied by the 3-D object , unit is in the form of → unit³

• For Sphere , Volume = $\dfrac{4}{3}$ π r³

★ We have :

• Radius of Sphere (r) = 7 cm

★ To Find :

• CSA = ?
• TSA = ?
• Volume = ?

★ Solution :

# Curved Surface Area / Total Surface Area :

Using the Formula

$\boxed{ \rm \: surface \: area = 4 \pi \: {r}^{2}}$

So ,

$\rm \mapsto \: csa = tsa = 4 \pi \: {r}^{2} \: {cm}^{2}$

$\mapsto \rm \: csa = tsa = 4 \times \frac{22}{7} \times {7}^{2} \: {cm}^{2}$

$\rm \mapsto \: csa = tsa = 4 \times \frac{22}{ \cancel{7}} \times \cancel7 \times 7 \: {cm}^{2}$

$\mapsto \rm \: csa = tsa = 4 \times 22 \times 7 \: {cm}^{2}$

$\large \mapsto \boxed{ \rm \: csa = tsa = 616 \: {cm}^{2} }$

Now ,

# Volume :

Using the Formula

$\boxed{ \rm \: volume = \frac{4}{3} \pi \: {r}^{3} }$

So ,

$\rm \mapsto \: volume = \frac{4}{3} \times \frac{22}{7} \times {7}^{3} \: {cm}^{3}$

$\rm \mapsto \: volume = \frac{4}{3} \times \frac{22}{ \cancel7} \times \cancel7 \times 7 \times 7 \: {cm}^{3}$

$\mapsto \rm \: volume = \frac{4}{3} \times 22 \times7 \times 7 \: {cm}^{3}$

$\large\rm \mapsto \boxed{ \rm\: volume = \frac{4312}{3} \: {cm}^{3} }$

or

$\large\mapsto \boxed{ \rm \: volume = 1437.333 \: {cm}^{3}}$

So , this is the required answer ↑