Question

a wooden article was made by scooping out hemisphere from each of a solid cylinder as shown in figure . if the height of cylinder is 10 cm, and its base is of radius 3.5 cm ,find the total surface area of the article
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Answer 1

Answer:

Given:

Height of Cylinder = h=h =10=10 cm

Radius of Cylinder = Radius of Hemispheres = r =r= 3.53.5 cm

Surface area of article = CSA of cylindrical part + 2 x CSA of hemispherical part

=2\pi rh+2\times 2\pi r^2=2πrh+2×2πr

2

=2\pi \times 3.5\times 10 + 2\times 2\pi \times 3.5^2=2π×3.5×10+2×2π×3.5

2

= 70\pi + 49\pi=70π+49π

=119\pi = 119 \times \dfrac{22}{7}=119π=119×

7

22

= 17 \times 22=17×22

=374 cm.