A toy is in the shape of a cylinder surmounted by a hemisphere. The height of the toy is 25 cm . find the volume of the toy of its common diameter is 12 cm
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Step-by-step explanation:
. Volume of each cube = 64 cm3
∴ Total volume of the two cubes = 2 × 64 cm3 = 128 cm3
Let the edge of each cube = x
∴ x3 = 64 = 43
∴ x = 4 cm
Now, Length of the resulting cuboid l = 2x cm
Breadth of the resulting cuboid b = x cm
Height of the resulting cuboid h = x cm
∴ Surface area of the cuboid = 2 (lb + bh + hl) = 2[(2x . x) + (x . x) + (x . 2x)] = 2[(2 × 4 × 4) + (4 × 4) + (4 × 2 × 4)] cm2 = 2 [32 + 16 + 32] cm2 = 2[80] cm2 = 160 cm2.
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