Neha Tyagi and Amit Rastogi Solutions for Chapter: Surface Areas and Volumes, Exercise 1: Exercise

Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter $2 \mathrm{cm}$ and height $16 \mathrm{cm}.$ The diameter of each sphere is 

The radii of the top and bottom of a bucket of slant height $45 \mathrm{cm}$ are $28 \mathrm{cm}$ and $7 \mathrm{cm},$ respectively. The curved surface area of the bucket is 

A medicine-capsule is in the shape of a cylinder of diameter $0.5 \mathrm{cm}$ with two hemispheres stuck to each of its ends. The length of entire capsule is $2 \mathrm{cm}$. The capacity of the capsule is

A right circular cylinder of radius $r \mathrm{cm}$ and height $h \mathrm{cm}$ (where, $h>2r$)  just encloses a sphere of diameter

During conversion of a solid from one shape to another, the volume of the new shape will

The diameters of the two circular ends of the bucket are $44 \mathrm{cm}$ and $24 \mathrm{cm}.$ The height of the bucket is $35 \mathrm{cm}.$ The capacity of the bucket is  

In a right circular cone, the cross-section made by a plane parallel to the base is a 

 If volumes of two spheres are in the ratio $64:27,$ then the ratio of their  surface areas is