Each Part: 2 Marks
Given: Slant height, l = 5 cm
and diameter = 6 cm
∴ r = 3 cm
i) Let the height of cone be 'h'
Then, l2=h2+r2
⇒52=h2+32
⇒h=√25−9 cm=4 cm
ii) Volume of solid = Volume of cone + Volume of hemisphere
=13πr2h+23πr3=13πr2(h+2r)
=13×227×9(4+2×3)=94.3 cm3
∴ Volume of the metallic sphere
=43πR3=43π(7)3 cm3
Radius of the small metallic sphere
=3.52=74 cm
Volume of a small metallic sphere
=43πr3=43π(74)3 cm3