Question

a silo is shaped like a cylinderwith a cone on top. the radii of the bases of the cylinder and cone are both equal to 8 feet. the hight of the cylindrical part is 25 feet and the height of the cone is 6 feet. what is the volume of the entire silo?

Answer 1

Answer:

5430.85 square feet

Step-by-step explanation:

Height of the cylindrical part of the cilo   = 25 feet

radius of the base cylindrical part of cilo = 8 feet

Now volume of cylindrical part of cilo =$\pi r^{2} h$

Volume of cylindrical part of cilo = $\pi(8^{2})25$ = $1600\pi square feet$

Now,

Height of the conical part of cilo = 6 feet

Radius of the conical part of cilo = 8 feet

Volume of the conical  part of cilo = $\frac{1}{3}\pi (8^{2})6$= $128\pi square feet$

Volume of the entire cilo = $1600\pi + 128\pi = 1728\pi$

since $\pi =\frac{22}{7} therefore,$

volume of entire cilo =   $\frac{22}{7} (1728)$= 5430.85