a decorative block shown in the figure is made of two solids Cube and a hemisphere.the base of the block is the cube with edge of 3.2 cm and the hemisphere attached on the top has a diameter of 2.9 cm. if the block is to be painted, find the total area to be painted ( pi = 22/7 )
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We have
Edge of cube= 5 cm
Diameter of hemisphere= 4.2 cm
Clearly
Surface area of decorative block
= total surface area of the cube - base area of hemisphere + curved surface area of hemisphere
=(6×(edge)
2
−πr
2
+2πr
2
)cm
2
=(25×6+πr
2
)cm
2
={150+
7
22
×(2.1)
2
}cm
2
=163.86cm
2
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