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The volume of a right cone is 372𝜋 cubic inches and the slant height makes an angle
of 60° with the base. Find the altitude. Please can anyone help me?
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Let h be the height of the cone.
Then the radius "r" of the cone is r = , from the 30°-60°-90° triangle.
Next, the volume of this cone is
V = = = = .
It gives you this equation
= ,
from which you get
= 372*9 = 3348,
h = = 14.96 inches (rounded). ANSWER
Solved.
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Comment/question from student: Ma'am can I ask? What if the slant height makes an angle of 45°, what would be the radius ma'am?
My response : In this case, r = h.
It is ELEMENTARY KNOWLEDGE, which is PRE-requisite for solving such problems,
and it is assumed that EVERY student KNOWS it as good as he (or she) knows the multiplication table.