The volume and surface area of the composite shape are 575.6cm³ and 518.1cm² respectively
How to calculate the volume and surface area of composite shapes
Composite shapes are the combination of two or more shapes combined together.
The composite shape given is made up of a hemisphere and a cone
Volume of the composite shape = 2/3πr³ + 1/3πr²h
Volume of the composite shape = 1/3πr²(2r+h)
Volume of the composite shape = 1/3(3.14)(5)²(2(5)+12)
Volume of the composite shape = 1/3(3.14)(5)²(22)
Volume of the composite shape = 575.6cm³
Hence the volume of the composite shape is 575.6cm³
Calculate the surface area
Surface area = πr(r+l) + 3π r²
Surface area = 3.14(5)(13+5) + 3(3.14)(25)
Surface area = 282.6 + 235.5 = 518.1 square cm
Hence the surface area of the composite figure is 518.1 square cm
