Embibe Experts Solutions for Chapter: Surface Areas and Volumes, Exercise 1: Assam Board-2018

Two cubes each of volume $64 {\mathrm{cm}}^3$ are joined end to end. Then the surface area of the resulting cuboid is

A hemispherical tank full of water is emptied by a pipe at the rate of $3\frac{4}{7}$ litres per second. How much time will it take to empty half the tank , if it is $3m$ in diameter?

How many silver coins, $1.75\mathrm{}\mathrm{c}\mathrm{m}$ in diameter and of thickness $\mathrm{}2\mathrm{}\mathrm{m}\mathrm{m}$, must be melted to form a cuboid of dimensions $5.5\mathrm{c}\mathrm{m}\times 10\mathrm{c}\mathrm{m}\times 3.5\mathrm{c}\mathrm{m}$?

The volume of sphere is $288\pi c{m}^3$. The radius of the sphere is 

A toy is in the form of a cone of radius $3.5 \mathrm{cm}$ mounted on a hemisphere of same radius. The total height of the toy is $15.5 \mathrm{cm}$.Find the total surface area of the toy.$$

Metallic spheres of radii $6 \mathrm{cm}, 8 \mathrm{cm}$ and $10 \mathrm{cm}$ respectively are melted to form a single solid sphere. Find the radius of the resulting sphere. Also find the surface area of the new sphere.

$2$ cubes each of volume $64 {\mathrm{cm}}^3$ are joined end to end. The surface area of the resulting cuboid is : 

A toy is in the form of a cone of radius $3.5 \mathrm{cm}$ mounted on a hemisphere of same radius. The total height of the toy is $15.5 \mathrm{cm}$. Find the total surface area of the toy.