Question

A wooden toy is shown in the picture. This is a cuboidal wooden block of dimensions 14 cm × 17 cm × 4 cm. On its top there are seven cylindrical hollows for bees to fit in. Each cylindrical hollow is of height 3 cm and radius 2 cm.

Assertion (A) : The surface area of largest sphere that can be inscribed in a hollow cube of side 'a' cm is πa² cm². Reason (R) : The surface area of a sphere of radius 'r' is 4/3 πr³.

A hemispherical bowl is packed in a cuboidal box. The bowl just fits in the box. Inner radius of the bowl is 10 cm. Outer radius of the bowl is 10.5 cm.

Volumes of two spheres are in the ratio 27: 64. The ratio of their surface areas is: