A concrete pedestal

A concrete pedestal has a shape of a right circular cone having a height of 2.5 feet. The diameter of the upper and lower bases are 3 feet and 5 feet, respectively. Determine the lateral surface area, total surface area, and the volume of the pedestal.

Correct result:

S3 =  33.836 ft2
S =  60.5395 ft2
V =  32.0704 ft3

Solution:

h=2.5 ft D1=3 ft D2=5 ft   r=D1/2=3/2=32=1.5 ft R=D2/2=5/2=52=2.5 ft  l2=h2+(Rr)2 l=h2+(Rr)2=2.52+(2.51.5)22.6926 ft  S3=π l (r+R)=3.1416 2.6926 (1.5+2.5)=33.836 ft2
S1=π r2=3.1416 1.527.0686 ft2 S2=π R2=3.1416 2.5219.635 ft2  S=S1+S2+S3=7.0686+19.635+33.836=60.5395 ft2
V=13 π h (r2+r R+R2)=13 3.1416 2.5 (1.52+1.5 2.5+2.52)=32.0704 ft3



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