Question

A lead right circular cone of diameter 8cm and height 12cm is melted and recast ed into spherical lead each of radius 4mm. How many shots can be made?

Answer 1

Diameter = 8 cm
Radius = 8/2 = 4 cm
Height = 12 cm

Volume of cone = 1/3πr^2h = 1/3 (4)^2 × 12π
= 64π cubic cm

Radius of lead = 4mm = 0.4 cm
Volume = 4/3πr^3 = 4/3 × (0.4)^3π = 0.256/3π cubic cm

Total number of balls = 64π÷ 0.256/3π = 750

Hope This Helps You!

Answer 2

Hi friend,
Diameter of the cone = 8 cm
Radius of cone = 8/2= 4 cm
Height of the cone = 12 cm
Volume of cone = 1/3πr sq.× h
Volume of cone = 1/3×22/7×4×4×12 cm cu.
Volume of cone = 1408/7 cm cu.
Radius of spherical lead = 4 mm/10 = 0.4 cm
Volume of sphere = 4/3πrcu.
Volume of sphere = 5632/21000 cm cu.
No. of shots = 1408/7 ÷ 5632/21000
750 shots
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