Question

ThevoIume of aspher is 4851 cm . Find its curved surface area.​

Answer 1

Given -

• Volume of sphere = 4851cm³

To find -

• Curved surface area of the sphere.

Solution -

First we need to find the radius of the sphere, which is not given therefore, we will take it as "r"

Volume of sphere = 4/3πr³

Where,

π = 22/7

r = Radius

On substituting the values -

Volume of sphere = 4/3πr³

→ 4851 = 4/3 × 22/7 × r³

→ r³ = 4851 × 7 × 3 / 4 × 22

→ r³ = 441 × 21 / 8

→ r³ = 9261 / 8

→ r³ = 1157.625

→ r = ∛1157.625

→ r = 10.5 cm

Now,

Finding the curved surface area of sphere -

Curved surface area of sphere = 4πr²

Where,

π = 22/7

r = Radius

On substituting the values -

Curved surface area = 4 × 22/7 × 10.5 × 10.5

Curved surface area = 9702/7

Curved surface area = 1386cm³

$\therefore$The curved surface area of sphere is 1386cm³

______________________________________________________

Answer 2

$\huge{\boxed{\rm{Question}}}$

The voIume of a sphere is 4851 cm³ . Find its curved surface area .

$\huge{\boxed{\rm{Answer}}}$

$\large{\boxed{\boxed{\sf{Given \: that}}}}$

• The voIume of a sphere is 4851 cm³.

$\large{\boxed{\boxed{\sf{To \: find}}}}$

• Curved surface area.

$\large{\boxed{\boxed{\sf{Solution}}}}$

• Curved surface area = 1386 cm³.

$\large{\boxed{\boxed{\sf{We \: also \: write \: these \: as}}}}$

• Curved surface area as CSA.

• Radius as r.

• π pronounced as Pi.

• Value of Pi = 22/7

• ³ means cube.

$\large{\boxed{\boxed{\sf{Using \: formulas}}}}$

• Volume of sphere = 4/3 πr³

• Curved surface area = 4 πr²

$\large{\boxed{\boxed{\sf{What \: does \: the \: question \: says}}}}$

$\large{\boxed{\boxed{\sf{Let's \: understand \: the \: concept \: 1st}}}}$

• This question says that a sphere is given it's volume is 4851 cm³ Afterthat it ask us to find its curved surface area .

$\large{\boxed{\boxed{\sf{How \: to \: do \: this \: question}}}}$

$\large{\boxed{\boxed{\sf{Let's \: see \: the \: procedure \: now}}}}$

• To solve this question we have to us the given formulas after using the formula of volume of sphere we get our radius values that is 10.5 Afterthat using the formula to find CSA and substituting the values we get Curved surface area = 1386 cm³.

$\large{\boxed{\boxed{\sf{Full \: solution}}}}$

According to the question we know that what is given or what to find. So let's start it.

According to this question we have to find the radius r and let radius as r .

Now we have to use this formula 4/3 πr³ It's of volume of sphere.

Putting the values according to this formula we get the following results ➝

• Volume of sphere = 4/3 πr³

• 4851 = 4/3 × 22/7 × r³

• r³ = 4851 × 7 × 3 / 4 × 22

Cancelling / dividing the digits we get

• r³ = 441 × 21 / 8

• r³ = 9261 /8

• r³ = 1157.625

• r = 3√1157.625

• r = 10.5

Hence, radius (r) is 10.5 cm.

According to this question now finding CSA

Now we have to use this formula 4πr² It's to find CSA

Using formula we have to put the values we get following results ➝

• CSA = 4πr²

• CSA = 4 × 22/7 × 10.5²

• CSA = 4 × 22/7 × 10.5 × 10.5

Dividing and multiplying the digits we get

• CSA = 9702 / 7

• CSA = 1386 cm³

Hence, CSA = 1386 cm³