Surface Area of a Right Circular Cone

Two right circular cones of equal curved surface areas have slant heights in the ratio of $3:5$. Find the ratio of their radii.

What is the total surface area of a cone having radius $\frac{\mathrm{r}}{2}$ and height $2\mathrm{l}$ ?

What is the total surface area of a cone, whose radius $=\frac{\mathrm{r}}{3}$ and slant height $=3\mathrm{l}$?

If the radius of the base of a solid cone is $\mathrm{\text{'}}\mathrm{r}\mathrm{\text{'}}$ and the slant height is $\mathrm{l}$, then what is its lateral surface area?

Two cones have their base radii in ratio of $3:1$ and the ratio of their heights as $1:3$. Find the ratio of their volumes.

The sides of a right triangle are $7\mathrm{}\mathrm{c}\mathrm{m},\mathrm{}24\mathrm{}\mathrm{c}\mathrm{m}$ and $25\mathrm{}\mathrm{c}\mathrm{m}$. If it is revolved about its side $7\mathrm{}\mathrm{c}\mathrm{m}$ to form a solid cone, find the volume of the solid so formed.

The radius and the height of a right circular cone are in the ratio of $5\mathrm{}:12$ and its volume is $2512 {\mathrm{c}\mathrm{m}}^3$. If $\mathrm{\pi }=3.14$, then find slant height.

If the slant height and the base radius of a cone are $10 \mathrm{c}\mathrm{m}$ and $8 \mathrm{c}\mathrm{m}$ respectively, then find

total surface area. [Take $\mathrm{\pi }=3.14$]

If the slant height and the base radius of a cone are $10 \mathrm{c}\mathrm{m}$ and $8 \mathrm{c}\mathrm{m}$ respectively, then find curved surface area. [Take $\mathrm{\pi }=3.14$]

The height of a cone is $16 \mathrm{c}\mathrm{m}$ and its base radius is $12 \mathrm{c}\mathrm{m}$. Find the total surface area of the cone. [Use $\mathrm{\pi }=3.14$]

The height of a cone is $16 \mathrm{c}\mathrm{m}$ and the base radius is$12 \mathrm{c}\mathrm{m}$. Find the curved surface area. [Use $\mathrm{\pi }=\mathrm{}3.14$]

Find the curved surface area of a right circular cone whose slant height is $10 \mathrm{c}\mathrm{m}$ and base radius is $7 \mathrm{c}\mathrm{m}$.