Question

The area of the base of a conical solid
38.5 cm2 and its volume is 154 cm3 .Find the
curved surface area of the solid.
​

Answer 1

Answer:

The Sage

base area of conical solid =pi.r^2

38.5 cm^2=22/7 xr^2

77/2 cm^2=22/7 x r^2

r^2 =49/4

r=7/2 cm

again

volume of conical solid =pi.r^2.h/3

154 cm^3= 22/7 x 49/4 x h/3

h=12 cm

now

curve surface area of conical solid=pi.r.l

but l is slant height

l=root {(7/2)^2+(12)^2}

=root {156.25}=12.5cm

now

curve surface area=22/7 x 7/2 x (12.5)

=137.5 cm^2

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