In the figure given below, a cone is surmounted on top of a cylinder of equal radius and height. If the common radius is 21 cm and the total height of the object is 40 cm, find the curved surface area of the solid object. (Take ℼ=227)
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Step-by-step explanation:
total height of solid=25cm
height of cylinder=25-4=21cm
radius of base of cylinder=radius of cone=6/2=3cm
volume of solid=volume of cylinder+volume of cone =pi r^2H +1/3pi r^2h
pi r^2(H+1/3h)
22/7*3*3(21+1/3*4)
22/7*9(63+4/3)
22/7*9(67/3)
66*67/7
=4422/7=631.71cm^3=632cm^3
b) slant height of cone =
=5cm
total curved surface area =C. S.A. of cylinder +C. S. A of cone
2pi r^2H+pi r l
2*22/7*3*3*21+22/7*3*5
1188+330/7
1188+47.14
=1235.14cm^2=1235cm^2(aporox)
hope it helps.....
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