Kerala Board Solutions for Chapter: Solids, Exercise 9: Exercise 9

The surface area of a solid sphere is $120$ square centimetres. If it is cut into two equal halves, what would be the surface area of each hemisphere in ${\mathrm{cm}}^2$

The volumes of two spheres are in the ratio $27:64$. What is the ratio of their radii? And the ratio of their surface areas?

The base radius and length of a metal cylinder are $4$ centimetres and $10$ centimetres.If it is melted and recast into spheres of radius $2$ centimetres each, how many spheres can be made?

A metal sphere of radius $12$ centimetres is melted and recast into $27$ small spheres of equal size. What is the radius of each small sphere in $\mathrm{cm}$

From a solid sphere of radius $10$ centimetres, a cone of a height $16$ centimetres is carved out. What fraction of the volume of a sphere is the volume of the cone?

The pictures shows the dimensions of a petrol tank. How many litres of petrol can it hold? Use $\left(\mathrm{\pi }=3.14\right)$