The total outer surface area of a right circular cone of height 24 cm with a hemisphere of radius 7 ...........

Quantitative Aptitude (CDS) Mensuration 3D

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The total outer surface area of a right circular cone of height 24 cm with a hemisphere of radius 7 cm upon its base is

327 $\pi$ square cm

307 $\pi$ square cm

293 $\pi$ square cm

273 $\pi$ square cm

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Explanation:

Radius of the hemisphere = Radius of the cone = r = 7 cm
Slant height of the cone $I=\sqrt{24^{2}+7^{2}}=\sqrt{576+49}=\sqrt{625}=25 cm$
Therefore, total surface area of cone and hemisphere together
=πrl+2πr²
π×7×25+2π×49
=175π+98π
=273π square cm