AREAS

VOLUMES

Cylinder. —

Area=areas of ends-f-area of curved surface
Volume =~ rz I

r; r2=area of the end and £=length

Barrel. —

Volume =TT r2 Z, where r is the mean of the
end radius and bilge radius, and I the
length of the barrel

Wedge.— .

Area—areas of top + bottom +end+both

sides
Volume =| (length X breadth X height)

Sphere* —

Area =4 TC r2

Volume = — ^ —
o

Volume of the shell of a hollow sphere

Cone —

Area of surf ace =curved surf ace 4-base
±=- r Z+ T: r2

where Z=slant height
Volume =area of base X J perpendicular

height

Pyramid, —

Axea=sum of areas of triangles of which

it is composed +area of base
Volume ==area of base X § perpendicular

height; the same as for a cone

Triangular Prism.—
Area=area of ends+area of sides
Volume =area of base X height