Jitender Gupta and Divya Malik Solutions for Exercise 2: Topic Exercise

Diameter of the base of a cone is $10.5\mathrm{cm}$and its slant height is $10 \mathrm{cm}$. Find the total surface area ( in ${\mathrm{cm}}^2$ ) of the cone.

The radius of the base of a cone is $7\mathrm{cm}$ and its vertical height is $15 \mathrm{cm}$. Find the curved surface area (in ${\mathrm{cm}}^2$ ) of a cone(express the answer upto one decimal place).

The radius of the base of a cone is $7\mathrm{cm}$ and its vertical height is $15 \mathrm{cm}$. Find the volume (in ${\mathrm{cm}}^3$)  of the cone.

The height of a cone is $15 \mathrm{cm}$. If its volume is $1570 {\mathrm{cm}}^3$, then find the radius of the base (in $\mathrm{cm}$ ).

A cloth having an area of $165 {\mathrm{m}}^2$ , is shaped into the form of a conical tent of radius $5 \mathrm{m}$. How many students can sit in the tent, if a student
on an average occupies $\frac{5}{7} {\mathrm{m}}^2$ on the ground?

A cloth having an area of $165 {\mathrm{m}}^2$ , is shaped into the form of a conical tent of radius $5 \mathrm{m}$. Find the volume of the cone. [Take $\mathrm{\pi }=\frac{22}{7}$]

A tent in the form of a right circular cone is $3 \mathrm{m}$ high and its base has a diameter of $14 \mathrm{m}$. If $100$ men sleep in it, then find the average number of cubic meters of air space per man.

$∆PQR$, where $PQ=9 \mathrm{cm}; QR=12 \mathrm{cm} \& PR=15 \mathrm{cm}$, is rotated about the side $QR$ to trace out a cone. Find the total surface area of the cone.