UPSC CAPF Assistant Commandant Model Paper 4

GIVEN:
Volume of sphere =4851 cm3
FORMULA USED:
Volume of sphere =

4

3

πr3
CALCULATION:
Let radius of sphere = r
Volume of sphere = 4851

4

3

×

22

7

×r3=4851
⇒r3= 9261/8
⇒r=10.5‌cm
Side of cube = 2 × Radius of sphere = 2 × 10.5 = 21 cm
Volume of cube = 213=9261cm3
Now, volume of remaining part of cube = 9261 – 4851 = 4410cm3