Match the following columns:

Answer

(a)- (q) , (b) - (s) , (c ) - (p) , (d) - ( r)

Explanation

(a) Let the number of cones be n then ,
`4/3piR^3=nxx1/3pir^2h rArr4R^3=nr^2hrArr4xx8^3=nxx8^2xx4rArrn=8`
(b) Volume of the earth dug out =`=pir^2h=((22)/7xx7xx7xx20)m^3=(22xx140)m^3`
Let the height of the platform be h metres
Volume of the earth on platform =`(44xx14xxh)m^3`
`therefore 44xx14xxh=22xx140rArrh=(22xx140)/(44xx14)m=5m`
(c) Volume of the sphere =`4/3pir^3`
Volume of the cylinder =`piR^2h`
`therefore 4/3pir^3=piR^2hrArr4/3r^3=R^2h`
`therefore 4/3xx6xx6xx6=4xx4xxhrArrh=(8xx6xx6)/(4xx4)=18cm`