Question

Base area of a wooden cylindrical block is 64pi cm and height 6cm. A cone of maximum size is
carved from it. a) What is the slant height of the cone so formed?
b) Find curved surface area of this cone.​

Answer 1

Answer:

251.5 $cm^{2}$ ( Approx)

Step-by-step explanation:

Base area = pi x $R^{2}$ = 64 x pi

R = $\sqrt{64}$

R = 8cm

a.

Cone:

Maximum height = Height of cylinder= 6cm

R = 8cm

$slant height^{2}$ = $R^{2}$ + $H^{2}$

$L^{2}$ = $8^{2}$ + $6^{2}$

=64 + 36

 =100

$L^{2}$ = 100

L = $\sqrt{100}$

L = 10

b.

CSA = pi x R x L

     = 22/7 x 8 x 10

     = 22 x 8 x 10/7

    =1760/7

CSA = 251.4285 $cm^{2}$

      = 251.5 $cm^{2}$ ( Approx)

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