The given figure shows a solid trophy made of shining glass. If one cubic centimetre of glass costs Rs 0.75, find the cost of the glass for making the trophy.
Solution:
This trophy is the case of combinational of solids.
Given side of the cube, a = 28 cm
Radius of the cylinder, r = 28/2 = 14 cm
Height of the cylinder, h = 28 cm
Volume of the cube = a3
= 283
= 28×28×28
= 21952 cm3
Volume of the cylinder = π r2h
= (22/7)×142×28
= 22×2×14×28
= 17248 cm3
Total volume of the solid = Volume of the cube + volume of the cylinder
= 21952+17248
= 39200 cm3
Cost of 1 cm3 glass = Rs. 0.75
Total cost of glass = 39200×0.75
= Rs. 29400
Hence the cost of making the trophy is Rs. 29400.
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