Math, asked by nimritkaur, 11 months ago

please solve this question? quality answer needed

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Answered by Anonymous
4
HIIIII BUDDY!!!!

Given diameter of semicircular sheet=28 cm

Therefore, radius of semicircular sheet
 = 28 \div 2

 = 14 cm

Length of the arc of the semicircular sheet
 = 1 \div 2 \times 2\pi \: r

 = \pi \: r

 =( 22 \div 7 \times 14)cm {}^{}

 = 44cm

Let all centimetre be the radius of the cone, then

 = > 2\pi \: r = 44

 = > 2 \times 22 \div 7 \times r = 44

 = > r = 7cm

Slant height of the cone=radius of semicircular sheet=14cm

let h cm be the height of the cone, then

l {}^{2} = h {}^{2} + r{}^{2}

 = > 14 {}^{2} = h {}^{2} + 7 {}^{2}

 = > h^{2} = 196 - 49

 = > h {}^{2} = 147

 = > h = \sqrt{147}

 = > h = 7 \sqrt{3}

The capacity of the conical cup=volume of cone
 = 1 \div 3\pi \: r {}^{2} h

 = (1 \div 3 \times 22 \div 7 \times 7 {}^{2} \times 7 \sqrt{3} ) \:

 = 1078 \sqrt{3} \div 3 \: cm {}^{3}

 = 622.38 \: \: cm {}^{3} (approximately)

thanks

i \: think \: it \: helps........


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Answered by SnehaG
3
⏩ÅlLøhå friend⏪

☁↘↘here is ur answer↙↙☁

Given →diameter of semicircular sheet=28 cm

Therefore, radius of semicircular sheet
=28÷2 

=14cm 

Length of the arc of the semicircular sheet
→r=1÷2×2πr 

→r=πr 

=(22÷7×14)cm 

= 44cm 

Let all centimetre be the radius of the cone, then

→2πr=44 

→2×22÷7×r=44 

→r=7cm 

Slant height of the cone=radius of semicircular sheet=14cm

let h cm be the height of the cone, then

→l²=h²+r² 

→ 1142=h²+72 

→h²=196−49 

→h²=147 

→h=√147​ 

→h=73​ 

The capacity of the conical cup=volume of conical cup

h=1÷3πr2h 

=(1÷3×22÷7×72×73​) 

=10783​÷3cm³

= 622.38cm³ (approximately)

hope it helps❤_______with reGarDs ============== SnehaG☑
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