Question: A solid consists of a hemisphere surmounted by a right circular cone. Find the vertical (or vertex) angle of the cone if the volumes of

A solid consists of a hemisphere surmounted by a right circular cone. Find the vertical (or vertex) angle of the cone if the volumes of the conical and the spherical portions are equal.

a) 50.13°

b) 51.13°

c) 52.13°

d) 53.13°

5) The sum of the base and the altitude of an isosceles triangle is 36 cm. Find the altitude of the triangle if its area is to be a maximum.

a) 16 cm

b) 17 cm

c) 18 cm

d) 19 cm

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