Question

From a solid cylinder whose height is 15 cm and diameter 16 cm,a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid(take π=3.14)

Answer 1

Answer:

Step-by-step explanation:

h = height of cylinder

  = height of cone

  = 15cm

r = radius of cylinder = 8 cm

Slant height of cone,    l=√ h2 + r2

l = $\sqrt{15^{2}+8^{2}}$

l = $\sqrt{225+64}$ = $\sqrt{289}$

l = 17cm

Total surface area of remaining solid= Curved surface area of cone

+ Curved Surface area of cylinder+ Area of bottom part

Total surface area=πrl + 2πrh + π$r^{2}$

=3.14 [8 × 17 + 2 × 8 × 15 + 8 × 8]

=3.14 [440] =1381.6cm2

Answer 2

Step-by-step explanation:

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