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

The volume of iron sphere and the volume of cylinder are numerically the same. Their radii are also the same. 

$\therefore$The height of cylinder$=$_____$\times \mathrm{radius}$

The ratio of the radii of two cones having equal height is $2:3$. Then, the ratio of their volumes$=$_____

Volume of a cone$=$_____${\mathrm{cm}}^3$ with same radius of height of $x \mathrm{cm}$ each.

In the following figure, hemisphere is placed at the bottom of the plastic bucket as shown in the figure. If curved surface area of the bucket is $A$,curved surface area of hemisphere is $B$, area of the bottom of the bucket is $C$ and total surface area of hemisphere is $D$, then total surface area of this model is _____

A metallic sphere of radius $5.6 cm$ is melted to make a cylinder having radius $6 cm$. Find the height of the cylinder.

 A cylindrical tank with hemisphere ends having radius $0.42 m$ and total height $3.84 m$. Find total surface area of the closed tank.

A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are $2.1 \mathrm{m}$ and $4 \mathrm{m}$ respectively, and the slant height of the top is $2.8 \mathrm{m}$, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of $\mathrm{₹} 350 \mathrm{p}\mathrm{e}\mathrm{r} {\mathrm{m}}^2$. (Note that the base of the tent will not be covered with canvas.) 

A tank in shape of a frustum having diameter of top and bottom are $6 m$ and $10 m$ respectively. If the height is $3 m$ then how many litres of oil can be filled in it. How many drums of $200 l$ each can be filled?