Question 1044328: a right circular cone has an altitude of 25 cm and a base diameter of 20cm rest on the top of a right circular cylinder of the same base and 30cm high.
a) Find the total volume of the composite figure.
b) Find the total surface area of the composite figure.
Answer by addingup(3677)   (Show Source):
You can put this solution on YOUR website! The cylinder:
20 diameter
30 height
Volume:
[Pi(20/2)^2]*30 = 9424.78
Area, assuming the cylinder has a base (not an open hole):
Area base: Pi(20/2)^2 = 314.16
Area of the side:
(Pi*20)*30 = 1884.9
So, for the cylinder we have:
total volume = 9424.78
total area = 314.16+1884.9 = 2199.06
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The cone:
Height of 25 cm and a base diameter of 20cm
Volume:
[Pi(20/2)^2]*25/3 = 2617.99
Area, assuming the cone is connected to the cylinder so it has no base:
Pi(20/2)(20/2+sqrt(25^2+(20/10)^2 = 1102.07
Add the cone to the cylinder:
Volume cylinder 9424.78+2617.99 cone = 12,042.77
Area cylinder 2199.06+1102.07 cone = 3301.13
:
John
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