Question

state and prove exterior angle therom ​

Answer 1

Answer:

in cylinder

diameter is 12 cm

hence radius will be 6cm

height is 15 cm

volume of cylinder is

πr^2h

π ×6×6×15 cm ^3

now, volume of 1 toy

2/3 × πr^3 + 1/3 πr^2 h

1/3 πr^2 ( 2r + h)

height of cone is 3 times r

h = 3r

as 12 toys were recasted..

volume of 12 toys = volume of cylinder

12 ×1/3 πr^2 ( 2r + h) = πr^2h

4 πr^2 ( 2r + 3r ) = π ×6×6×15

4 r^2 (5r) = 6×6×15

r^3 = 6 ×6×15/4×5

r ^3 = 3 ×3×3

r = 3 cm

radius of sphere is 3 cm

height of conical part is 3 ×3 = 9 cm

height of toy is 3 +9 = 12cm

Answer 2

Answer:

The exterior angle theorem states that if a triangle's side gets an extension, then the resultant exterior angle would be equal to the sum of the two opposite interior angles of the triangle. According to the Exterior Angle Theorem, the sum of measures of ∠ABC and ∠CAB would be equal to the exterior angle ∠ACD.

Step-by-step explanation:

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