Acone of diameter 8 cm and a height 8cm.

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

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Step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

srry idk

step-by-step explanation: