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Ilya [14]
3 years ago
7

9) A tin man has a head that is a cylinder with a cone on top. The height of the cylinder is 12 inches and the height of the con

e is 6 inches. The radius of both the cylinder and the cone is 4 inches. What is the volume of the tin man's head in terms of pi?
Mathematics
2 answers:
Sliva [168]3 years ago
6 0
\bf \stackrel{\textit{volume of a cylinder}}{V=\pi r^2 h}\qquad \qquad \stackrel{\textit{volume of a cone}}{V=\cfrac{\pi r^2 h}{3}}\\\\
-------------------------------\\\\
\stackrel{\textit{volume of this cylinder}}{\pi (4)^2(12)}~~+~~\stackrel{\textit{volume of this cone}}{\cfrac{\pi (4)^2(6)}{3}}
\\\\\\
192\pi ~+~32\pi \implies 224\pi
BaLLatris [955]3 years ago
5 0

V of a cylinder = pi x r^2 h

V of a cone = 1/3 x pi x r^2 h


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