A block is made up of two solids such as cube and hemisphere as shown in the figure. The base of the block is a cube with an edge 5 cm and the hemisphere fixed on the top has a diameter of 4.2 cm. Find the total surface area of a block (Take π = 22/7).
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A decorative block shown in figure, is made of two solids- a cube and a hemisphere. The base of the block is a cube with edge 5cm, and the hemisphere fixed on the top has a diameter 4.2cm. Find the total surface area of the block (Take π=22/7)
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Solution
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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