Math, asked by subrahmanyamgmanyam, 11 months ago

the diameter of a spherical ball is 21 cm. how much leather is required to prepare 5 such balls​

Answers

Answered by madhutiwari793
4

Answer:2205cm cube

Step-by-step explanation:go through the photo attached and please mark brainliest

Attachments:
Answered by ButterFliee
7

GIVEN:

  • Diameter of spherical ball = 21 cm

TO FIND:

  • how much leather is required to prepare 5 such balls ?

SOLUTION:

Diameter of a spherical ball = 21 cm

\rm{Radius = \dfrac{Diameter}{2}}

\bf{Radius = \dfrac{21}{2} \: cm}

We know that the formula for finding the volume of sphere is:-

\bf{\star \: Volume = \dfrac{4}{3} \pi r^3 \: \star}

According to question:-

On putting the values in the formula, we get

Take π = 22/7

\rm{\longrightarrow Volume = \dfrac{4}{3} \times \dfrac{22}{7} \times \dfrac{21}{2}  \times \dfrac{21}{2}  \times \dfrac{21}{2}}

\rm{\longrightarrow Volume = \dfrac{\cancel{4}}{\cancel{3}} \times \dfrac{\cancel{22}}{\cancel{7}} \times \dfrac{\cancel{21}}{\cancel{2}}  \times \dfrac{21}{\cancel{2}}  \times \dfrac{21}{\cancel{2}}}

\rm{\longrightarrow Volume = 11 \times 21 \times 21}

\bf{\star \: Volume = 4851 \: cm^3 \: \star}

Leather required for 5 such balls = 5 \times Volume

\rm{ 5 \times 4851 }

\bf{\star \: 24255 \: cm^3 \: \star}

Hence, the leather required for 5 such balls is 24255 cm³ ❞

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