Answer:
8 cm
Step-by-step explanation:
(16-10)² + h² = 10²
6² + h² = 10²
h² = 100 - 36
h² = 64
h = 8
See the attached picture for the solution:
A, use the Pythagorean theorem. A squared plus B squared equals C Squared, or A+B=C. In other words, 24 (Which is C) - 8 (Which is B)=16 (Which is A).
Volume for a cone is 1/3 pi * r^2*h, where r is radius and h is height.
We have diameter = 1/2 radius. Thus, radius = 1.5in. We also have volume is 12 in.
Using formula for volume of a cone and plugging in what we know, we have
12 = 1/3*pi*(1.5)^2*h, were solving for h.
To get, h= (12*3)/(pi*(1.5)^2), which is approximately 5.0931in, 5 inches