Answer :

i. Cloth material required = 2 × S A of hemispherical dome

= 2 × 2π r^{2}

= 2 × 2 × × (2.5)^{2} m^{2}

= 78.57 m^{2}

ii. Volume of a cylindrical pillar = π r^{2}h

iii. Lateral surface area = 2 × 2πrh

= 4 × x 1.4 x 7 m^{2}

= 123.2 m^{2}

iv. Volume of hemisphere = π r^{3}

= (3.5)^{3} m^{3}

= 89.83 m^{3}

v. Sum of the volumes of two hemispheres of radius 1 cm each

= 2 × π1^{3}

Volume of sphere of radius 2cm = 4/3 π 2^{3}

So, required ratio = = 1 : 8

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