Question

Joseph made a model rocket by attaching a cone

on top of a cylinder, as shown in the diagram.
The cone has a height of 12 inches and slant
height of 13 inches. The cylinder has a height
of 18 inches and radius of 5 inches.
a) What is the surface area of the model rocket
(without the base)?

b) What is the volume of the model rocket?

Answer 1

Area = 270π inches squared. Volume = 550π inches cubed

Explanation:

Surface Area:

Cylinder Area=2πrh+2πr^2= 180π+50π=230π inches squared.

Cone Area = πr(r+√(h^2+r^2)) = 5π(18) = 90π inches squared.

Total Area = 230π+90π = 320π inches squared.

Total Area - base = 320π-50π = 270π inches squared.

Volume:

Cylinder volume = πr^2h = 450π inches cubed

Cone volume = πr^2(h/3) = 100π inches cubed

Total Volume = 550π inches cubed