a solid is in the form of a cone mounted on a right circular cylinder both having same radii of the base of the cone is placed on the top base of the cylinder . if the radius of the base and height of the cone are 4 cm and 7 cm respectively and the height of the cylinderical part of the solid is 3.5 cm , find the volume of a solid . (use paie = 22/7)
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Answered by
13
height of cylinder =3.5cm
r=4cm
volume of cylinder=πr^2h
=22/7*4*4*3.5=44*4=176 cu cm
height of cone=7cm
volume of cone=1/3*πr^2h
=1/3*22/7*4*4*7
=1/3*22*4*4
=352/3 cu cm
total volume of the solid=176+352/3
=293.33 cu cm(approx)
r=4cm
volume of cylinder=πr^2h
=22/7*4*4*3.5=44*4=176 cu cm
height of cone=7cm
volume of cone=1/3*πr^2h
=1/3*22/7*4*4*7
=1/3*22*4*4
=352/3 cu cm
total volume of the solid=176+352/3
=293.33 cu cm(approx)
Answered by
6
Volume of solid = 293.33 cm³
Step-by-step explanation:
Volume of solid = Volume of Cone + Volume of Cylinder
Radius of cone = Radius of cylinder = 4 cm
Height of cone = 7 cm
Height of cylinder = 3.5 cm
Volume of cone = (1/3)πr²h
= (1/3)(22/7)4² * 7
= 352/3 cm³
Volume of cylinder = )πr²h
= (22/7)4² * 3.5
= 176 cm³
Volume of solid = 352/3+ 176 = 880/3 cm³
= 293.33 cm³
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