a solid is in the form of a cylinder with hemispherical ends the total height of the solid is 20cm and the diameter of the cylinder is 7 cm find total volume of the solid
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Answer:
The volume of the solid will be 680.16 cm³
Step-by-step explanation:
Given diameter of the cylinder = 7 cm
=> radius of the cylinder = radius of the hemisphere = 7/2 = 3.5 cm
Height of the solid = 20 cm
=> height of the cylinder = 20 - 2(3.5) = 13 cm
Hence volume of the solid
= volume of the cylinder + 2 x volume of the hemisphere
= πr²h + 2 x 2/3 x πr³
= 22/7 x 3.5 x 3.5 x 13 + 2 x 2/3 x 22/7 x 3.5 x 3.5 x 3.5
= 500.5 + 179.66
= 680.16 cm³
Hence the volume of the solid will be 680.16 cm³
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