Surface Area and Volume of a Cone

The curved surface area of a cone is $4070 {\mathrm{cm}}^2$and its diameter is $70 \mathrm{cm}$. What is its slant height?

Height of a cone-shaped tent is $5 \mathrm{m}$ and its radius is $12 \mathrm{m}$. Find the slant height of the cone and the cost of the canvas which is used to make the tent. Cost of canvas is $70$ rupees per square meter.

The diameter of two cones are equal. If their slant heights are in the ratio $5:4,$ find the ratio of their curved surface areas.

Find the radius of base of a cone whose curved surface area is $1884.4 {\mathrm{cm}}^2$ and its slant height is $12 \mathrm{cm}$.

Find the volume of right circular cone whose radius of base is $6 \mathrm{cm}$ and height is $8 \mathrm{cm}$.

If the radius of the base of a cone is tripled and the height is doubled then the volume becomes _____.

The curved surface area of a right circular cone of height $15 \mathrm{cm}$ and base diameter $16 \mathrm{cm}$ is _____.

Find the curved surface area of a cone of radius $7 \mathrm{cm}$ and height $24 \mathrm{cm}.$

The diameters of two cones are equal. If their slant heights be in the ratio of $5:7$, find the ratio of their curved surface areas?

A heap of rice is in the form of a cone of diameter $9\mathrm{m}$ and height $3.5 \mathrm{m}$. Find the volume of the rice. How much canvas cloth is required to just cover heap?

[Take $\mathrm{\pi }=\frac{22}{7}$]

The area of the base of a right circular cone is $154 {\mathrm{cm}}^2$ and its height is $14 \mathrm{cm}$. Its curved surface area is 

[Take $\mathrm{\pi }=\frac{22}{7}$] 

The diameter of the base of a cone is$42 \mathrm{cm}$ and its volume is $12936 {\mathrm{cm}}^3$. Its height is 

The radius of the base of a cone is $15 \mathrm{cm}$ and its height is $12 \mathrm{cm}$. Its curved surface area is 

The height of a conical tent is $14 \mathrm{m}$ and its floor area is $346.5 {\mathrm{m}}^2$. How long a canvas, $1.1 \mathrm{m}$ wide, will be required for the tent?