# Somebody please solve this question

## Answers

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- Sum of the radius of two Sphere = 10 cm
- Sum of her Volume = 880 cm³

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- Product of the radius of the these two sphere .

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__U____s____i____n____g____ ____F____o____r____m____u____l____a__

**★**** ****V****o****l****u****m****e**** ****o****f**** ****S****p****h****e****r****e**** ****=**** ****4****/****3****(****π****r****³****)**

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- Radius of first Sphere = r
- Radius of Second Sphere = r'

**A****/****C**** ****t****o**** ****q****u****e****s****t****i****o****n****,**

(Sum of the radius of two Sphere = 10 cm )

==> r + r' = 10 **-****-****-****-****-****-****-****-****-****-****-****-****e****q****u****(****1****)**

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(Sum of her Volume = 880 cm³)

==> Volume of first Sphere + Volume of second Sphere = 880

==> (4/3)*πr³ + (4/3)*πr'³ = 880

==> (4/3)π * [r³ + r'³] = 880

==> (r³ + r'³) = 880 * 3/5 * 7/22

==> (r³ + r'³) = 40 * 3/5 * 7

==> (r³ + r'³) = 8 * 3 * 7

==> (r³ + r'³) = 168 **-****-****-****-****-****-****-****-****-****-****-****-****-****-****e****q****u****(****2****)**

__W____e____ ____k____n____o____w____,__

**★**** ****(****a****³****+****b****³****)**** ****=**** ****(****a****+****b****)****(****a****²****+****b****²****-****a****b****)**

**S****o****,**** ****a****p****p****l****y**** ****f****o****r**** ****e****q****u****(****2****)**

==> (r+r')(r²+r'²-rr') = 168

**K****e****e****p**** ****V****a****l****u****e**** ****b****y**** ****e****q****u****(****1****)**

==> 10 * (r²+r'²-rr') = 168

==> (r²+r'²-rr') = 168/10**-****-****-****-****-****-****-****-****-****-****-****-****e****q****u****(****3****)**

**S****q****u****a****r****i****n****g**** ****b****o****t****h**** ****S****i****d****e**** ****o****f**** ****e****q****u****(****1****)**

==> (r+r')² = 10²

==> (r²+r'²+2rr') = 100 **-****-****-****-****-****-****-****-****-****-****-****e****q****u****(****4****)**

**Subtract equ(3) & equ(4) **

==> -rr' - 2rr' = 16.8 - 100

==> -3rr' = - 83.2

==> rr' = -83.2/(-3)

**==> rr' = 27.4**

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- Sum of radius of two Sphere will be = 27.4 cm

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**Answer:**

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