Embibe Experts Solutions for Chapter: Surface Areas and Volumes, Exercise 1: Exercise

A cone of base radius $4 \mathrm{cm}$ is divided into two parts by drawing a plane through the mid-point of its height and parallel to its base. Compare the volume of the two parts. 

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in figure. If the height of the cylinder is $10 \mathrm{c}\mathrm{m}$, and its base is of radius $3.5 \mathrm{c}\mathrm{m}$. Find the total surface area of the article.

Find the volume and surface area of the following sphere. Round your answers to the nearest tenth $(\text{Take} \pi =3.14)$.

Find the volume of the following shape. $\left(\text{Take} \mathrm{\pi }=3.14\right)$

Find the volume of the following shape. $\left(\text{Take} \mathrm{\pi }=3.14\right)$

Find the volume of the following shape. $\left(\text{Take} \mathrm{\pi }=3.14\right)$

Jumbo circus team is a very famous circus company in south India. They roam around in the different parts of the counts and host the circus treat for the people. When they are settling at a place, they will erect their huge circus tent for performing the show and small tents for them to stay in those days. The stage tent consists of a cylinder capped by a cone.

The height and radius of the base of a conical portion is $21$ metre and $28$ metre. To make this conical part, find the length of the cloth in metres that is required if the given cloth has a breadth of $8.8$ metres.

Akhil runs a toy manufacturing company. He produces a wide variety of toys suitable for kids of different ages. A wooden toy was made by scooping out a hemisphere from each end of a solid cylinder, as shown in the figure. If the height of the cylinder is $10 \mathrm{c}\mathrm{m}$, and its base is of radius $3.5 \mathrm{c}\mathrm{m}$. Find the total surface area of the toy.