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In Agra in a grinding mill, there were installed $5$ types of mills. These mills used steel balls of radius $5\ mm, 7\ mm,10\ mm, 14\ mm$ and $16\ mm$respectively. All the balls were in the spherical shape. For repairing purpose mills need $10$ balls of $7\ mm$ radius and $20$ balls of $3.5\ mm$ radius. The workshop was having $20000\ mm^3$ steel. This $20000\ mm^3$ steel was melted and $10$ balls of $7\ mm$ radius and $20$ balls of $3.5\ mm$ radius were made and the remaining steel was stored for future use. Answer the following questions:
$i.$ What was the volume of $10$ balls of radius $7\ mm?$
$a. 14373.3\ mm^3$
$b. 14000\ mm^3$
$c. 7000\ mm^3$
$d. 20000\ mm^3$
$ii.$ What was the volume of $20$ balls of radius $3.5\ mm$?
$a. 2000\ mm^3$
$b. 1800\ mm^3$
$c. 1796.6\ mm^3$
$d. 3593.3\ mm^3$
$iii.$ How much steel was kept for future use?
$a. 1250\ mm^3$
$b. 2033.3\ mm^3$
$c. 1300\ mm^3$
$d. 2200\ mm^3$
$iv.$ What was the surface area of one ball of $7\ mm$ radius?
$a. 600\ mm^2$
$b. 616\ mm^2$
$c. 308\ mm^2$
$d. 400\ mm^2$
$v.$ What was the surface area of one ball of $3.5\ mm$ radius?
$a. 600\ mm^2$
$b. 616\ mm^2$
$308\ mm^2$
$d. 154\ mm^2$