Q. 94.4( 285 Votes )

# 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 :

**Given:**

Radius (*r*) of cylindrical part = 3.5 cm

Radius (*r*) of hemispherical part = 3.5 cm

Height of cylindrical part (*h*) = 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

= 17 × 22

= 374 cm^{2}

Hence, the total surface of the article = 374 cm^{2}

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PREVIOUSFrom a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm2NEXTA solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π.

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