Question

Question:-
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in Fig. 13.11. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the total surface area of the article.​

Answer 1

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Given:

Radius (r)of cylindrical part = 3.5 cm

Radius (r)of hemispherical part = 3.5 cm

Height of cylindrical part= 10 cm

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

= 2 πrh + 2 × 2 πr^2

= (2 π × 3.5 × 10) + (2 × 2 π × 3.5 × 3.5)

= 70 π + 49 π

= 119 π

= 119×22/7

= 17 × 22

= 374 cm^2

Hence the total surface area of the article 374 cm^2

Hope it helps you.!!!

Answer 2

Step-by-step explanation:

Height of cylinder=10cm

Radius of cylinder=Radius of hemispherical part

scooped out=3.5/2 cm

So, TSA of the solid=CSA of cylinder+2(CSA of

hemisphere

= 2πrh+2(2πr^2)

=2πr(h+2r)

=2 × 22/7 × 3.5 (10 + 2(3.5))

=2 ×22× 0.5 (17)

=374 cm^2

So, TSA of solid is 374 cm^2